Information on Result #606408
Linear OA(2711, 27, F27, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), using Reed–Solomon code RS(16,27)
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(2798, 768, F27, 35) (dual of [768, 670, 36]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(360, 108, F3, 23) (dual of [108, 48, 24]-code) | [i] | Concatenation of Two Codes | |
| 3 | Linear OA(359, 104, F3, 23) (dual of [104, 45, 24]-code) | [i] | ||
| 4 | Linear OA(358, 100, F3, 23) (dual of [100, 42, 24]-code) | [i] | ||
| 5 | Linear OA(357, 96, F3, 23) (dual of [96, 39, 24]-code) | [i] | ||
| 6 | Linear OA(356, 92, F3, 23) (dual of [92, 36, 24]-code) | [i] | ||
| 7 | Linear OA(355, 88, F3, 23) (dual of [88, 33, 24]-code) | [i] | ||
| 8 | Linear OA(354, 84, F3, 23) (dual of [84, 30, 24]-code) | [i] | ||
| 9 | Linear OA(352, 76, F3, 23) (dual of [76, 24, 24]-code) | [i] | ||
| 10 | Linear OA(351, 72, F3, 23) (dual of [72, 21, 24]-code) | [i] | ||
| 11 | Linear OA(3123, 144, F3, 59) (dual of [144, 21, 60]-code) | [i] | ||
| 12 | Linear OA(3153, 180, F3, 71) (dual of [180, 27, 72]-code) | [i] | ||
| 13 | Linear OA(3147, 171, F3, 71) (dual of [171, 24, 72]-code) | [i] | ||
| 14 | Linear OA(3141, 162, F3, 71) (dual of [162, 21, 72]-code) | [i] | ||
| 15 | Linear OA(3135, 153, F3, 71) (dual of [153, 18, 72]-code) | [i] | ||
| 16 | Linear OA(3129, 144, F3, 71) (dual of [144, 15, 72]-code) | [i] | ||
| 17 | Linear OA(3123, 135, F3, 71) (dual of [135, 12, 72]-code) | [i] | ||
| 18 | Linear OOA(3108, 75, F3, 2, 47) (dual of [(75, 2), 42, 48]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 19 | Linear OOA(3105, 72, F3, 2, 47) (dual of [(72, 2), 39, 48]-NRT-code) | [i] | ||
| 20 | Linear OOA(3102, 69, F3, 2, 47) (dual of [(69, 2), 36, 48]-NRT-code) | [i] | ||
| 21 | Linear OOA(399, 66, F3, 2, 47) (dual of [(66, 2), 33, 48]-NRT-code) | [i] | ||
| 22 | Linear OOA(396, 63, F3, 2, 47) (dual of [(63, 2), 30, 48]-NRT-code) | [i] | ||
| 23 | Linear OOA(393, 60, F3, 2, 47) (dual of [(60, 2), 27, 48]-NRT-code) | [i] | ||
| 24 | Linear OOA(390, 57, F3, 2, 47) (dual of [(57, 2), 24, 48]-NRT-code) | [i] | ||
| 25 | Linear OOA(387, 54, F3, 2, 47) (dual of [(54, 2), 21, 48]-NRT-code) | [i] | ||
| 26 | Linear OOA(384, 51, F3, 2, 47) (dual of [(51, 2), 18, 48]-NRT-code) | [i] | ||
| 27 | Linear OOA(378, 45, F3, 2, 47) (dual of [(45, 2), 12, 48]-NRT-code) | [i] | ||
| 28 | Linear OOA(3118, 68, F3, 2, 71) (dual of [(68, 2), 18, 72]-NRT-code) | [i] | ||
| 29 | Linear OOA(3113, 64, F3, 2, 71) (dual of [(64, 2), 15, 72]-NRT-code) | [i] | ||
| 30 | Linear OOA(3108, 60, F3, 2, 71) (dual of [(60, 2), 12, 72]-NRT-code) | [i] | ||
| 31 | Linear OOA(3103, 56, F3, 2, 71) (dual of [(56, 2), 9, 72]-NRT-code) | [i] | ||
| 32 | Linear OOA(398, 52, F3, 2, 71) (dual of [(52, 2), 6, 72]-NRT-code) | [i] | ||
| 33 | Linear OOA(3176, 91, F3, 2, 131) (dual of [(91, 2), 6, 132]-NRT-code) | [i] | ||
| 34 | Linear OOA(3150, 52, F3, 3, 119) (dual of [(52, 3), 6, 120]-NRT-code) | [i] | ||
| 35 | Linear OA(27100, 116, F27, 79) (dual of [116, 16, 80]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 36 | Linear OA(2799, 116, F27, 78) (dual of [116, 17, 79]-code) | [i] | ||
| 37 | Linear OA(2798, 116, F27, 77) (dual of [116, 18, 78]-code) | [i] | ||
| 38 | Linear OA(2797, 116, F27, 76) (dual of [116, 19, 77]-code) | [i] | ||
| 39 | Linear OA(2796, 116, F27, 75) (dual of [116, 20, 76]-code) | [i] | ||
| 40 | Linear OA(2795, 116, F27, 74) (dual of [116, 21, 75]-code) | [i] | ||
| 41 | Linear OA(2794, 116, F27, 73) (dual of [116, 22, 74]-code) | [i] | ||
| 42 | Linear OA(2793, 116, F27, 72) (dual of [116, 23, 73]-code) | [i] | ||
| 43 | Linear OA(2792, 116, F27, 71) (dual of [116, 24, 72]-code) | [i] | ||
| 44 | Linear OA(2791, 116, F27, 70) (dual of [116, 25, 71]-code) | [i] | ||
| 45 | Linear OA(2790, 116, F27, 69) (dual of [116, 26, 70]-code) | [i] | ||
| 46 | Linear OA(2789, 116, F27, 68) (dual of [116, 27, 69]-code) | [i] | ||
| 47 | Linear OA(2788, 116, F27, 67) (dual of [116, 28, 68]-code) | [i] | ||
| 48 | Linear OA(2787, 116, F27, 66) (dual of [116, 29, 67]-code) | [i] | ||
| 49 | Linear OA(2786, 116, F27, 65) (dual of [116, 30, 66]-code) | [i] | ||
| 50 | Linear OA(2785, 116, F27, 64) (dual of [116, 31, 65]-code) | [i] | ||
| 51 | Linear OA(2784, 116, F27, 63) (dual of [116, 32, 64]-code) | [i] | ||
| 52 | Linear OA(2783, 116, F27, 62) (dual of [116, 33, 63]-code) | [i] | ||
| 53 | Linear OA(2782, 116, F27, 61) (dual of [116, 34, 62]-code) | [i] | ||
| 54 | Linear OA(2781, 116, F27, 60) (dual of [116, 35, 61]-code) | [i] | ||
| 55 | Linear OA(2780, 116, F27, 59) (dual of [116, 36, 60]-code) | [i] | ||
| 56 | Linear OA(2779, 116, F27, 58) (dual of [116, 37, 59]-code) | [i] | ||
| 57 | Linear OA(2778, 116, F27, 57) (dual of [116, 38, 58]-code) | [i] | ||
| 58 | Linear OA(2777, 116, F27, 56) (dual of [116, 39, 57]-code) | [i] | ||
| 59 | Linear OA(2776, 116, F27, 55) (dual of [116, 40, 56]-code) | [i] | ||
| 60 | Linear OA(2775, 116, F27, 54) (dual of [116, 41, 55]-code) | [i] | ||
| 61 | Linear OA(2774, 116, F27, 53) (dual of [116, 42, 54]-code) | [i] | ||
| 62 | Linear OA(2773, 116, F27, 52) (dual of [116, 43, 53]-code) | [i] | ||
| 63 | Linear OA(2772, 116, F27, 51) (dual of [116, 44, 52]-code) | [i] | ||
| 64 | Linear OA(2771, 116, F27, 50) (dual of [116, 45, 51]-code) | [i] | ||
| 65 | Linear OA(2770, 116, F27, 49) (dual of [116, 46, 50]-code) | [i] | ||
| 66 | Linear OA(2769, 116, F27, 48) (dual of [116, 47, 49]-code) | [i] | ||
| 67 | Linear OA(2768, 116, F27, 47) (dual of [116, 48, 48]-code) | [i] | ||
| 68 | Linear OA(2767, 116, F27, 46) (dual of [116, 49, 47]-code) | [i] | ||
| 69 | Linear OA(2766, 116, F27, 45) (dual of [116, 50, 46]-code) | [i] | ||
| 70 | Linear OA(2765, 116, F27, 44) (dual of [116, 51, 45]-code) | [i] | ||
| 71 | Linear OA(2764, 116, F27, 43) (dual of [116, 52, 44]-code) | [i] | ||
| 72 | Linear OA(2763, 116, F27, 42) (dual of [116, 53, 43]-code) | [i] | ||
| 73 | Linear OA(2762, 116, F27, 41) (dual of [116, 54, 42]-code) | [i] | ||
| 74 | Linear OA(2761, 116, F27, 40) (dual of [116, 55, 41]-code) | [i] | ||
| 75 | Linear OA(2760, 116, F27, 39) (dual of [116, 56, 40]-code) | [i] | ||
| 76 | Linear OA(2759, 116, F27, 38) (dual of [116, 57, 39]-code) | [i] | ||
| 77 | Linear OA(2758, 116, F27, 37) (dual of [116, 58, 38]-code) | [i] | ||
| 78 | Linear OA(2757, 116, F27, 36) (dual of [116, 59, 37]-code) | [i] | ||
| 79 | Linear OA(2756, 116, F27, 35) (dual of [116, 60, 36]-code) | [i] | ||
| 80 | Linear OA(2755, 116, F27, 34) (dual of [116, 61, 35]-code) | [i] | ||
| 81 | Linear OA(2754, 116, F27, 33) (dual of [116, 62, 34]-code) | [i] | ||
| 82 | Linear OA(2753, 116, F27, 32) (dual of [116, 63, 33]-code) | [i] | ||
| 83 | Linear OA(2752, 116, F27, 31) (dual of [116, 64, 32]-code) | [i] | ||
| 84 | Linear OA(2751, 116, F27, 30) (dual of [116, 65, 31]-code) | [i] | ||
| 85 | Linear OA(2750, 116, F27, 29) (dual of [116, 66, 30]-code) | [i] | ||
| 86 | Linear OA(2749, 116, F27, 28) (dual of [116, 67, 29]-code) | [i] | ||
| 87 | Linear OA(2748, 116, F27, 27) (dual of [116, 68, 28]-code) | [i] | ||
| 88 | Linear OA(2747, 116, F27, 26) (dual of [116, 69, 27]-code) | [i] | ||
| 89 | Linear OA(27110, 230, F27, 75) (dual of [230, 120, 76]-code) | [i] | ||
| 90 | Linear OA(27109, 230, F27, 74) (dual of [230, 121, 75]-code) | [i] | ||
| 91 | Linear OA(27108, 230, F27, 73) (dual of [230, 122, 74]-code) | [i] | ||
| 92 | Linear OA(27107, 230, F27, 72) (dual of [230, 123, 73]-code) | [i] | ||
| 93 | Linear OA(27106, 230, F27, 71) (dual of [230, 124, 72]-code) | [i] | ||
| 94 | Linear OA(27105, 230, F27, 70) (dual of [230, 125, 71]-code) | [i] | ||
| 95 | Linear OA(27104, 230, F27, 69) (dual of [230, 126, 70]-code) | [i] | ||
| 96 | Linear OA(27103, 230, F27, 68) (dual of [230, 127, 69]-code) | [i] | ||
| 97 | Linear OA(27102, 230, F27, 67) (dual of [230, 128, 68]-code) | [i] | ||
| 98 | Linear OA(27101, 230, F27, 66) (dual of [230, 129, 67]-code) | [i] | ||
| 99 | Linear OA(27100, 230, F27, 65) (dual of [230, 130, 66]-code) | [i] | ||
| 100 | Linear OA(2799, 230, F27, 64) (dual of [230, 131, 65]-code) | [i] | ||
| 101 | Linear OA(2798, 230, F27, 63) (dual of [230, 132, 64]-code) | [i] | ||
| 102 | Linear OA(2797, 230, F27, 62) (dual of [230, 133, 63]-code) | [i] | ||
| 103 | Linear OA(2796, 230, F27, 61) (dual of [230, 134, 62]-code) | [i] | ||
| 104 | Linear OA(2795, 230, F27, 60) (dual of [230, 135, 61]-code) | [i] | ||
| 105 | Linear OA(2794, 230, F27, 59) (dual of [230, 136, 60]-code) | [i] | ||
| 106 | Linear OA(2793, 230, F27, 58) (dual of [230, 137, 59]-code) | [i] | ||
| 107 | Linear OA(2792, 230, F27, 57) (dual of [230, 138, 58]-code) | [i] | ||
| 108 | Linear OA(2791, 230, F27, 56) (dual of [230, 139, 57]-code) | [i] | ||
| 109 | Linear OA(2790, 230, F27, 55) (dual of [230, 140, 56]-code) | [i] | ||
| 110 | Linear OA(2789, 230, F27, 54) (dual of [230, 141, 55]-code) | [i] | ||
| 111 | Linear OA(2790, 755, F27, 35) (dual of [755, 665, 36]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 112 | Linear OA(2791, 757, F27, 35) (dual of [757, 666, 36]-code) | [i] | ||
| 113 | Linear OA(2792, 759, F27, 35) (dual of [759, 667, 36]-code) | [i] | ||
| 114 | Linear OA(2793, 761, F27, 35) (dual of [761, 668, 36]-code) | [i] | ||
| 115 | Linear OA(2788, 755, F27, 34) (dual of [755, 667, 35]-code) | [i] | ||
| 116 | Linear OA(2789, 757, F27, 34) (dual of [757, 668, 35]-code) | [i] | ||
| 117 | Linear OA(2790, 759, F27, 34) (dual of [759, 669, 35]-code) | [i] | ||
| 118 | Linear OA(2791, 761, F27, 34) (dual of [761, 670, 35]-code) | [i] | ||
| 119 | Linear OA(2786, 755, F27, 33) (dual of [755, 669, 34]-code) | [i] | ||
| 120 | Linear OA(2788, 759, F27, 33) (dual of [759, 671, 34]-code) | [i] | ||