Information on Result #606409
Linear OA(2712, 27, F27, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using Reed–Solomon code RS(15,27)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(27107, 771, F27, 38) (dual of [771, 664, 39]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(363, 108, F3, 25) (dual of [108, 45, 26]-code) | [i] | Concatenation of Two Codes | |
| 3 | Linear OA(362, 104, F3, 25) (dual of [104, 42, 26]-code) | [i] | ||
| 4 | Linear OA(361, 100, F3, 25) (dual of [100, 39, 26]-code) | [i] | ||
| 5 | Linear OA(360, 96, F3, 25) (dual of [96, 36, 26]-code) | [i] | ||
| 6 | Linear OA(359, 92, F3, 25) (dual of [92, 33, 26]-code) | [i] | ||
| 7 | Linear OA(358, 88, F3, 25) (dual of [88, 30, 26]-code) | [i] | ||
| 8 | Linear OA(357, 84, F3, 25) (dual of [84, 27, 26]-code) | [i] | ||
| 9 | Linear OA(356, 80, F3, 25) (dual of [80, 24, 26]-code) | [i] | ||
| 10 | Linear OA(355, 76, F3, 25) (dual of [76, 21, 26]-code) | [i] | ||
| 11 | Linear OA(3141, 168, F3, 64) (dual of [168, 27, 65]-code) | [i] | ||
| 12 | Linear OA(3136, 160, F3, 64) (dual of [160, 24, 65]-code) | [i] | ||
| 13 | Linear OA(3131, 152, F3, 64) (dual of [152, 21, 65]-code) | [i] | ||
| 14 | Linear OA(3126, 144, F3, 64) (dual of [144, 18, 65]-code) | [i] | ||
| 15 | Linear OA(3121, 136, F3, 64) (dual of [136, 15, 65]-code) | [i] | ||
| 16 | Linear OA(3162, 189, F3, 77) (dual of [189, 27, 78]-code) | [i] | ||
| 17 | Linear OA(3156, 180, F3, 77) (dual of [180, 24, 78]-code) | [i] | ||
| 18 | Linear OA(3150, 171, F3, 77) (dual of [171, 21, 78]-code) | [i] | ||
| 19 | Linear OA(3138, 153, F3, 77) (dual of [153, 15, 78]-code) | [i] | ||
| 20 | Linear OA(3132, 144, F3, 77) (dual of [144, 12, 78]-code) | [i] | ||
| 21 | Linear OOA(3117, 81, F3, 2, 51) (dual of [(81, 2), 45, 52]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 22 | Linear OOA(3114, 78, F3, 2, 51) (dual of [(78, 2), 42, 52]-NRT-code) | [i] | ||
| 23 | Linear OOA(3111, 75, F3, 2, 51) (dual of [(75, 2), 39, 52]-NRT-code) | [i] | ||
| 24 | Linear OOA(3108, 72, F3, 2, 51) (dual of [(72, 2), 36, 52]-NRT-code) | [i] | ||
| 25 | Linear OOA(3105, 69, F3, 2, 51) (dual of [(69, 2), 33, 52]-NRT-code) | [i] | ||
| 26 | Linear OOA(3102, 66, F3, 2, 51) (dual of [(66, 2), 30, 52]-NRT-code) | [i] | ||
| 27 | Linear OOA(399, 63, F3, 2, 51) (dual of [(63, 2), 27, 52]-NRT-code) | [i] | ||
| 28 | Linear OOA(396, 60, F3, 2, 51) (dual of [(60, 2), 24, 52]-NRT-code) | [i] | ||
| 29 | Linear OOA(393, 57, F3, 2, 51) (dual of [(57, 2), 21, 52]-NRT-code) | [i] | ||
| 30 | Linear OOA(390, 54, F3, 2, 51) (dual of [(54, 2), 18, 52]-NRT-code) | [i] | ||
| 31 | Linear OOA(387, 51, F3, 2, 51) (dual of [(51, 2), 15, 52]-NRT-code) | [i] | ||
| 32 | Linear OOA(384, 48, F3, 2, 51) (dual of [(48, 2), 12, 52]-NRT-code) | [i] | ||
| 33 | Linear OOA(3146, 88, F3, 2, 77) (dual of [(88, 2), 30, 78]-NRT-code) | [i] | ||
| 34 | Linear OOA(3131, 76, F3, 2, 77) (dual of [(76, 2), 21, 78]-NRT-code) | [i] | ||
| 35 | Linear OOA(3126, 72, F3, 2, 77) (dual of [(72, 2), 18, 78]-NRT-code) | [i] | ||
| 36 | Linear OOA(3121, 68, F3, 2, 77) (dual of [(68, 2), 15, 78]-NRT-code) | [i] | ||
| 37 | Linear OOA(3116, 64, F3, 2, 77) (dual of [(64, 2), 12, 78]-NRT-code) | [i] | ||
| 38 | Linear OOA(3111, 60, F3, 2, 77) (dual of [(60, 2), 9, 78]-NRT-code) | [i] | ||
| 39 | Linear OOA(3106, 56, F3, 2, 77) (dual of [(56, 2), 6, 78]-NRT-code) | [i] | ||
| 40 | Linear OOA(3180, 64, F3, 3, 129) (dual of [(64, 3), 12, 130]-NRT-code) | [i] | ||
| 41 | Linear OOA(3171, 60, F3, 3, 129) (dual of [(60, 3), 9, 130]-NRT-code) | [i] | ||
| 42 | Linear OOA(3162, 56, F3, 3, 129) (dual of [(56, 3), 6, 130]-NRT-code) | [i] | ||
| 43 | Linear OA(2795, 112, F27, 74) (dual of [112, 17, 75]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 44 | Linear OA(2794, 112, F27, 73) (dual of [112, 18, 74]-code) | [i] | ||
| 45 | Linear OA(2793, 112, F27, 72) (dual of [112, 19, 73]-code) | [i] | ||
| 46 | Linear OA(2792, 112, F27, 71) (dual of [112, 20, 72]-code) | [i] | ||
| 47 | Linear OA(2791, 112, F27, 70) (dual of [112, 21, 71]-code) | [i] | ||
| 48 | Linear OA(2790, 112, F27, 69) (dual of [112, 22, 70]-code) | [i] | ||
| 49 | Linear OA(2789, 112, F27, 68) (dual of [112, 23, 69]-code) | [i] | ||
| 50 | Linear OA(2788, 112, F27, 67) (dual of [112, 24, 68]-code) | [i] | ||
| 51 | Linear OA(2787, 112, F27, 66) (dual of [112, 25, 67]-code) | [i] | ||
| 52 | Linear OA(2786, 112, F27, 65) (dual of [112, 26, 66]-code) | [i] | ||
| 53 | Linear OA(2785, 112, F27, 64) (dual of [112, 27, 65]-code) | [i] | ||
| 54 | Linear OA(2784, 112, F27, 63) (dual of [112, 28, 64]-code) | [i] | ||
| 55 | Linear OA(2783, 112, F27, 62) (dual of [112, 29, 63]-code) | [i] | ||
| 56 | Linear OA(2782, 112, F27, 61) (dual of [112, 30, 62]-code) | [i] | ||
| 57 | Linear OA(2781, 112, F27, 60) (dual of [112, 31, 61]-code) | [i] | ||
| 58 | Linear OA(2780, 112, F27, 59) (dual of [112, 32, 60]-code) | [i] | ||
| 59 | Linear OA(2779, 112, F27, 58) (dual of [112, 33, 59]-code) | [i] | ||
| 60 | Linear OA(2778, 112, F27, 57) (dual of [112, 34, 58]-code) | [i] | ||
| 61 | Linear OA(2777, 112, F27, 56) (dual of [112, 35, 57]-code) | [i] | ||
| 62 | Linear OA(2776, 112, F27, 55) (dual of [112, 36, 56]-code) | [i] | ||
| 63 | Linear OA(2775, 112, F27, 54) (dual of [112, 37, 55]-code) | [i] | ||
| 64 | Linear OA(2774, 112, F27, 53) (dual of [112, 38, 54]-code) | [i] | ||
| 65 | Linear OA(2773, 112, F27, 52) (dual of [112, 39, 53]-code) | [i] | ||
| 66 | Linear OA(2772, 112, F27, 51) (dual of [112, 40, 52]-code) | [i] | ||
| 67 | Linear OA(2771, 112, F27, 50) (dual of [112, 41, 51]-code) | [i] | ||
| 68 | Linear OA(2770, 112, F27, 49) (dual of [112, 42, 50]-code) | [i] | ||
| 69 | Linear OA(2769, 112, F27, 48) (dual of [112, 43, 49]-code) | [i] | ||
| 70 | Linear OA(2768, 112, F27, 47) (dual of [112, 44, 48]-code) | [i] | ||
| 71 | Linear OA(2767, 112, F27, 46) (dual of [112, 45, 47]-code) | [i] | ||
| 72 | Linear OA(2766, 112, F27, 45) (dual of [112, 46, 46]-code) | [i] | ||
| 73 | Linear OA(2765, 112, F27, 44) (dual of [112, 47, 45]-code) | [i] | ||
| 74 | Linear OA(2764, 112, F27, 43) (dual of [112, 48, 44]-code) | [i] | ||
| 75 | Linear OA(2763, 112, F27, 42) (dual of [112, 49, 43]-code) | [i] | ||
| 76 | Linear OA(2762, 112, F27, 41) (dual of [112, 50, 42]-code) | [i] | ||
| 77 | Linear OA(2761, 112, F27, 40) (dual of [112, 51, 41]-code) | [i] | ||
| 78 | Linear OA(2760, 112, F27, 39) (dual of [112, 52, 40]-code) | [i] | ||
| 79 | Linear OA(2759, 112, F27, 38) (dual of [112, 53, 39]-code) | [i] | ||
| 80 | Linear OA(2758, 112, F27, 37) (dual of [112, 54, 38]-code) | [i] | ||
| 81 | Linear OA(2757, 112, F27, 36) (dual of [112, 55, 37]-code) | [i] | ||
| 82 | Linear OA(2756, 112, F27, 35) (dual of [112, 56, 36]-code) | [i] | ||
| 83 | Linear OA(2755, 112, F27, 34) (dual of [112, 57, 35]-code) | [i] | ||
| 84 | Linear OA(2754, 112, F27, 33) (dual of [112, 58, 34]-code) | [i] | ||
| 85 | Linear OA(2753, 112, F27, 32) (dual of [112, 59, 33]-code) | [i] | ||
| 86 | Linear OA(2752, 112, F27, 31) (dual of [112, 60, 32]-code) | [i] | ||
| 87 | Linear OA(2751, 112, F27, 30) (dual of [112, 61, 31]-code) | [i] | ||
| 88 | Linear OA(2750, 112, F27, 29) (dual of [112, 62, 30]-code) | [i] | ||
| 89 | Linear OA(2749, 112, F27, 28) (dual of [112, 63, 29]-code) | [i] | ||
| 90 | Linear OA(2748, 112, F27, 27) (dual of [112, 64, 28]-code) | [i] | ||
| 91 | Linear OA(2747, 112, F27, 26) (dual of [112, 65, 27]-code) | [i] | ||
| 92 | Linear OA(27101, 118, F27, 79) (dual of [118, 17, 80]-code) | [i] | ||
| 93 | Linear OA(27100, 118, F27, 78) (dual of [118, 18, 79]-code) | [i] | ||
| 94 | Linear OA(2799, 118, F27, 77) (dual of [118, 19, 78]-code) | [i] | ||
| 95 | Linear OA(2798, 118, F27, 76) (dual of [118, 20, 77]-code) | [i] | ||
| 96 | Linear OA(2797, 118, F27, 75) (dual of [118, 21, 76]-code) | [i] | ||
| 97 | Linear OA(2796, 118, F27, 74) (dual of [118, 22, 75]-code) | [i] | ||
| 98 | Linear OA(2795, 118, F27, 73) (dual of [118, 23, 74]-code) | [i] | ||
| 99 | Linear OA(2794, 118, F27, 72) (dual of [118, 24, 73]-code) | [i] | ||
| 100 | Linear OA(2793, 118, F27, 71) (dual of [118, 25, 72]-code) | [i] | ||
| 101 | Linear OA(2792, 118, F27, 70) (dual of [118, 26, 71]-code) | [i] | ||
| 102 | Linear OA(2791, 118, F27, 69) (dual of [118, 27, 70]-code) | [i] | ||
| 103 | Linear OA(2790, 118, F27, 68) (dual of [118, 28, 69]-code) | [i] | ||
| 104 | Linear OA(2789, 118, F27, 67) (dual of [118, 29, 68]-code) | [i] | ||
| 105 | Linear OA(2788, 118, F27, 66) (dual of [118, 30, 67]-code) | [i] | ||
| 106 | Linear OA(2787, 118, F27, 65) (dual of [118, 31, 66]-code) | [i] | ||
| 107 | Linear OA(2786, 118, F27, 64) (dual of [118, 32, 65]-code) | [i] | ||
| 108 | Linear OA(2785, 118, F27, 63) (dual of [118, 33, 64]-code) | [i] | ||
| 109 | Linear OA(2784, 118, F27, 62) (dual of [118, 34, 63]-code) | [i] | ||
| 110 | Linear OA(2783, 118, F27, 61) (dual of [118, 35, 62]-code) | [i] | ||
| 111 | Linear OA(2782, 118, F27, 60) (dual of [118, 36, 61]-code) | [i] | ||
| 112 | Linear OA(2781, 118, F27, 59) (dual of [118, 37, 60]-code) | [i] | ||
| 113 | Linear OA(2780, 118, F27, 58) (dual of [118, 38, 59]-code) | [i] | ||
| 114 | Linear OA(2779, 118, F27, 57) (dual of [118, 39, 58]-code) | [i] | ||
| 115 | Linear OA(2778, 118, F27, 56) (dual of [118, 40, 57]-code) | [i] | ||
| 116 | Linear OA(2777, 118, F27, 55) (dual of [118, 41, 56]-code) | [i] | ||
| 117 | Linear OA(2776, 118, F27, 54) (dual of [118, 42, 55]-code) | [i] | ||
| 118 | Linear OA(2775, 118, F27, 53) (dual of [118, 43, 54]-code) | [i] | ||
| 119 | Linear OA(2774, 118, F27, 52) (dual of [118, 44, 53]-code) | [i] | ||
| 120 | Linear OA(2773, 118, F27, 51) (dual of [118, 45, 52]-code) | [i] | ||
| 121 | Linear OA(2772, 118, F27, 50) (dual of [118, 46, 51]-code) | [i] | ||
| 122 | Linear OA(2771, 118, F27, 49) (dual of [118, 47, 50]-code) | [i] | ||
| 123 | Linear OA(2770, 118, F27, 48) (dual of [118, 48, 49]-code) | [i] | ||
| 124 | Linear OA(2769, 118, F27, 47) (dual of [118, 49, 48]-code) | [i] | ||
| 125 | Linear OA(2768, 118, F27, 46) (dual of [118, 50, 47]-code) | [i] | ||
| 126 | Linear OA(2767, 118, F27, 45) (dual of [118, 51, 46]-code) | [i] | ||
| 127 | Linear OA(2766, 118, F27, 44) (dual of [118, 52, 45]-code) | [i] | ||
| 128 | Linear OA(2765, 118, F27, 43) (dual of [118, 53, 44]-code) | [i] | ||
| 129 | Linear OA(2764, 118, F27, 42) (dual of [118, 54, 43]-code) | [i] | ||
| 130 | Linear OA(2763, 118, F27, 41) (dual of [118, 55, 42]-code) | [i] | ||
| 131 | Linear OA(2762, 118, F27, 40) (dual of [118, 56, 41]-code) | [i] | ||
| 132 | Linear OA(2761, 118, F27, 39) (dual of [118, 57, 40]-code) | [i] | ||
| 133 | Linear OA(2760, 118, F27, 38) (dual of [118, 58, 39]-code) | [i] | ||
| 134 | Linear OA(2759, 118, F27, 37) (dual of [118, 59, 38]-code) | [i] | ||
| 135 | Linear OA(2758, 118, F27, 36) (dual of [118, 60, 37]-code) | [i] | ||
| 136 | Linear OA(2757, 118, F27, 35) (dual of [118, 61, 36]-code) | [i] | ||
| 137 | Linear OA(2756, 118, F27, 34) (dual of [118, 62, 35]-code) | [i] | ||
| 138 | Linear OA(2755, 118, F27, 33) (dual of [118, 63, 34]-code) | [i] | ||
| 139 | Linear OA(2754, 118, F27, 32) (dual of [118, 64, 33]-code) | [i] | ||
| 140 | Linear OA(2753, 118, F27, 31) (dual of [118, 65, 32]-code) | [i] | ||
| 141 | Linear OA(2752, 118, F27, 30) (dual of [118, 66, 31]-code) | [i] | ||
| 142 | Linear OA(2798, 757, F27, 38) (dual of [757, 659, 39]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 143 | Linear OA(2799, 759, F27, 38) (dual of [759, 660, 39]-code) | [i] | ||
| 144 | Linear OA(27100, 761, F27, 38) (dual of [761, 661, 39]-code) | [i] | ||
| 145 | Linear OA(27101, 763, F27, 38) (dual of [763, 662, 39]-code) | [i] | ||
| 146 | Linear OA(27102, 765, F27, 38) (dual of [765, 663, 39]-code) | [i] | ||
| 147 | Linear OA(2796, 757, F27, 37) (dual of [757, 661, 38]-code) | [i] | ||
| 148 | Linear OA(2797, 759, F27, 37) (dual of [759, 662, 38]-code) | [i] | ||
| 149 | Linear OA(2798, 761, F27, 37) (dual of [761, 663, 38]-code) | [i] | ||
| 150 | Linear OA(2799, 763, F27, 37) (dual of [763, 664, 38]-code) | [i] | ||
| 151 | Linear OA(2794, 757, F27, 36) (dual of [757, 663, 37]-code) | [i] | ||
| 152 | Linear OA(2795, 759, F27, 36) (dual of [759, 664, 37]-code) | [i] | ||
| 153 | Linear OA(2796, 761, F27, 36) (dual of [761, 665, 37]-code) | [i] | ||
| 154 | Linear OA(2797, 763, F27, 36) (dual of [763, 666, 37]-code) | [i] | ||