spielwiese
Last change
on this file since 1ebec3 was
ef52d6,
checked in by Oleksandr Motsak <motsak@…>, 11 years ago
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Update testsuite wrt current master (320c4f5e64cad778b4ada9556a9b0a6c71cab83a)
NOTE: some wrong/bad tests were removed...
TODO: add the reset of these updates after updating LIB/
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Property mode set to
100644
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File size:
2.4 KB
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1 | LIB "tst.lib"; |
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2 | tst_init(); |
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3 | |
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4 | // tst_status(); |
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5 | |
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6 | |
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7 | // killall(); |
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8 | |
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9 | LIB "brnoeth.lib"; |
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10 | |
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11 | // special CURVE over F_64 (p=2) |
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12 | |
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13 | ring r=2,(x,y),lp; |
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14 | poly f=y9+y8+xy6+x2y3+y2+x3; |
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15 | ideal I=f,jacob(f); |
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16 | closed_points(I); |
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17 | I=f,x2+x,y2+y; |
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18 | closed_points(I); |
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19 | I=f,x4+x,y4+y; |
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20 | closed_points(I); |
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21 | I=f,x8+x,y8+y; |
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22 | closed_points(I); |
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23 | I=f,x16+x,y16+y; |
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24 | closed_points(I); |
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25 | I=f,x32+x,y32+y; |
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26 | closed_points(I); |
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27 | I=f,x64+x,y64+y; |
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28 | closed_points(I); |
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29 | list CURVE=Adj_div(f); |
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30 | CURVE=NSplaces(1..6,CURVE); |
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31 | CURVE=extcurve(6,CURVE); |
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32 | CURVE; |
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33 | def affR=CURVE[1][1]; |
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34 | setring affR; |
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35 | listvar(); |
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36 | Aff_SLocus; |
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37 | Inf_Points; |
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38 | def projR=CURVE[1][2]; |
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39 | setring projR; |
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40 | CHI; |
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41 | Weierstrass(4,10,CURVE); |
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42 | tst_status(); |
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43 | Weierstrass(3,10,CURVE); |
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44 | tst_status(); |
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45 | Weierstrass(2,10,CURVE); |
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46 | tst_status(); |
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47 | intvec DD=1,1,2,1,0,1; |
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48 | BrillNoether(DD,CURVE); |
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49 | DD=2,0,3; |
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50 | BrillNoether(DD,CURVE); |
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51 | def RP=CURVE[1][5]; |
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52 | setring RP; |
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53 | size(POINTS); |
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54 | setring r; |
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55 | killall(); |
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56 | |
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57 | // SUZUKI curve over F_8 (p=2) |
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58 | |
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59 | ring r=2,(x,y),lp; |
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60 | poly f=x10+x3+y8+y; |
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61 | ideal I=f,jacob(f); |
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62 | closed_points(I); |
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63 | I=f,x2+x,y2+y; |
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64 | closed_points(I); |
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65 | I=f,x4+x,y4+y; |
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66 | closed_points(I); |
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67 | I=f,x8+x,y8+y; |
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68 | closed_points(I); |
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69 | I=f,x16+x,y16+y; |
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70 | closed_points(I); |
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71 | I=f,x32+x,y32+y; |
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72 | closed_points(I); |
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73 | I=f,x64+x,y64+y; |
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74 | closed_points(I); |
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75 | list SUZUKI=Adj_div(f); |
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76 | SUZUKI=NSplaces(1..3,SUZUKI); |
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77 | SUZUKI=extcurve(3,SUZUKI); |
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78 | SUZUKI; |
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79 | def affR=SUZUKI[1][1]; |
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80 | setring affR; |
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81 | listvar(); |
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82 | Aff_SLocus; |
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83 | Inf_Points; |
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84 | def projR=SUZUKI[1][2]; |
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85 | setring projR; |
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86 | CHI; |
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87 | Weierstrass(1,20,SUZUKI); |
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88 | tst_status(); |
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89 | intvec DD=2,1,0,0,3; |
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90 | DD[25]=3; |
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91 | BrillNoether(DD,SUZUKI); |
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92 | tst_status(); |
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93 | def RP=SUZUKI[1][5]; |
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94 | setring RP; |
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95 | size(POINTS); |
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96 | setring r; |
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97 | killall(); |
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98 | |
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99 | // special HYPERELLIPTIC curve over F_16 (p=2) |
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100 | |
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101 | ring r=2,(x,y),lp; |
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102 | intvec G,D,F; |
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103 | poly f=x5+y2+y; |
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104 | list EC=Adj_div(f); |
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105 | EC=NSplaces(1..4,EC); |
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106 | EC=extcurve(4,EC); |
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107 | def R4=EC[1][4]; |
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108 | setring R4; |
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109 | G[5]=4; |
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110 | D=1..33; |
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111 | matrix C=AGcode_Omega(G,D,EC); |
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112 | print(C); |
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113 | // the code C=AGcode_Omega(G,D) is of type [33,22,>=10] over F_16; |
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114 | // the basic decoding algorithm can correct up to 3 errors; |
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115 | // for it, we need an auxiliary divisor F of degree 5 : |
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116 | EC=NSplaces(1..5,EC); |
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117 | F[14]=1; |
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118 | list SV=prepSV(G,D,F,EC); |
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119 | matrix y[1][33]; |
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120 | y[1,1]=1; |
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121 | y[1,2]=a; |
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122 | y[1,3]=1; |
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123 | print(decodeSV(y,SV)); |
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124 | y[1,1]=0; |
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125 | y[1,2]=a; |
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126 | y[1,10]=a+1; |
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127 | y[1,3]=0; |
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128 | y[1,21]=1; |
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129 | print(decodeSV(y,SV)); |
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130 | y[1,4]=a; |
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131 | y[1,2]=0; |
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132 | y[1,12]=a; |
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133 | y[1,10]=0; |
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134 | y[1,21]=0; |
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135 | y[1,29]=a+1; |
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136 | print(decodeSV(y,SV)); |
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137 | matrix H=dual_code(C); |
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138 | print(H); |
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139 | list SC=sys_code(C); |
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140 | print(SC[1]); |
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141 | print(SC[2]); |
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142 | SC[3]; |
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143 | list SH=sys_code(H); |
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144 | print(SH[1]); |
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145 | print(SH[2]); |
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146 | SH[3]; |
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147 | setring r; |
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148 | killall(); |
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149 | |
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150 | |
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151 | tst_status(1); |
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152 | $ |
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