Information on Result #713183
Linear OA(71, 342, F7, 1) (dual of [342, 341, 2]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(719, 357, F7, 6) (dual of [357, 338, 7]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(784, 814, F7, 25) (dual of [814, 730, 26]-code) | [i] | ||
| 3 | Linear OA(783, 813, F7, 25) (dual of [813, 730, 26]-code) | [i] | ||
| 4 | Linear OA(7110, 2416, F7, 31) (dual of [2416, 2306, 32]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 5 | Linear OA(7100, 2414, F7, 27) (dual of [2414, 2314, 28]-code) | [i] | ||
| 6 | Linear OA(792, 2414, F7, 25) (dual of [2414, 2322, 26]-code) | [i] | ||
| 7 | Linear OA(784, 2414, F7, 23) (dual of [2414, 2330, 24]-code) | [i] | ||
| 8 | Linear OA(776, 2414, F7, 21) (dual of [2414, 2338, 22]-code) | [i] | ||
| 9 | Linear OA(768, 2414, F7, 19) (dual of [2414, 2346, 20]-code) | [i] | ||
| 10 | Linear OA(763, 2418, F7, 17) (dual of [2418, 2355, 18]-code) | [i] | ||
| 11 | Linear OA(762, 2416, F7, 17) (dual of [2416, 2354, 18]-code) | [i] | ||
| 12 | Linear OA(7106, 354, F7, 39) (dual of [354, 248, 40]-code) | [i] | ||
| 13 | Linear OA(7100, 354, F7, 37) (dual of [354, 254, 38]-code) | [i] | ||
| 14 | Linear OA(794, 354, F7, 35) (dual of [354, 260, 36]-code) | [i] | ||
| 15 | Linear OA(788, 354, F7, 33) (dual of [354, 266, 34]-code) | [i] | ||
| 16 | Linear OA(785, 358, F7, 31) (dual of [358, 273, 32]-code) | [i] | ||
| 17 | Linear OA(784, 356, F7, 31) (dual of [356, 272, 32]-code) | [i] | ||
| 18 | Linear OA(776, 354, F7, 27) (dual of [354, 278, 28]-code) | [i] | ||
| 19 | Linear OA(770, 354, F7, 25) (dual of [354, 284, 26]-code) | [i] | ||
| 20 | Linear OA(764, 354, F7, 23) (dual of [354, 290, 24]-code) | [i] | ||
| 21 | Linear OA(758, 354, F7, 21) (dual of [354, 296, 22]-code) | [i] | ||
| 22 | Linear OA(752, 354, F7, 19) (dual of [354, 302, 20]-code) | [i] | ||
| 23 | Linear OA(749, 358, F7, 17) (dual of [358, 309, 18]-code) | [i] | ||
| 24 | Linear OA(748, 356, F7, 17) (dual of [356, 308, 18]-code) | [i] | ||
| 25 | Linear OA(740, 354, F7, 13) (dual of [354, 314, 14]-code) | [i] | ||
| 26 | Linear OA(758, 5764811, F7, 9) (dual of [5764811, 5764753, 10]-code) | [i] | Construction X4 with Cyclic Codes | |
| 27 | Linear OA(744, 823560, F7, 7) (dual of [823560, 823516, 8]-code) | [i] | ||
| 28 | Linear OA(730, 823560, F7, 5) (dual of [823560, 823530, 6]-code) | [i] | ||
| 29 | Linear OA(751, 823552, F7, 9) (dual of [823552, 823501, 10]-code) | [i] | ||
| 30 | Linear OA(737, 117656, F7, 7) (dual of [117656, 117619, 8]-code) | [i] | ||
| 31 | Linear OA(752, 16820, F7, 11) (dual of [16820, 16768, 12]-code) | [i] | ||
| 32 | Linear OA(732, 16820, F7, 7) (dual of [16820, 16788, 8]-code) | [i] | ||
| 33 | Linear OA(7102, 16830, F7, 21) (dual of [16830, 16728, 22]-code) | [i] | ||
| 34 | Linear OA(792, 16830, F7, 19) (dual of [16830, 16738, 20]-code) | [i] | ||
| 35 | Linear OA(782, 16830, F7, 17) (dual of [16830, 16748, 18]-code) | [i] | ||
| 36 | Linear OA(720, 352, F7, 7) (dual of [352, 332, 8]-code) | [i] | ||
| 37 | Linear OA(799, 5764812, F7, 15) (dual of [5764812, 5764713, 16]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 38 | Linear OA(7108, 823560, F7, 18) (dual of [823560, 823452, 19]-code) | [i] | ||
| 39 | Linear OA(787, 823553, F7, 15) (dual of [823553, 823466, 16]-code) | [i] | ||
| 40 | Linear OA(7105, 117664, F7, 20) (dual of [117664, 117559, 21]-code) | [i] | ||
| 41 | Linear OA(793, 117664, F7, 18) (dual of [117664, 117571, 19]-code) | [i] | ||
| 42 | Linear OA(775, 117658, F7, 15) (dual of [117658, 117583, 16]-code) | [i] | ||
| 43 | Linear OA(775, 117664, F7, 14) (dual of [117664, 117589, 15]-code) | [i] | ||
| 44 | Linear OA(739, 117658, F7, 8) (dual of [117658, 117619, 9]-code) | [i] | ||
| 45 | Linear OA(7108, 16820, F7, 25) (dual of [16820, 16712, 26]-code) | [i] | ||
| 46 | Linear OA(7104, 16821, F7, 24) (dual of [16821, 16717, 25]-code) | [i] | ||
| 47 | Linear OA(788, 16820, F7, 20) (dual of [16820, 16732, 21]-code) | [i] | ||
| 48 | Linear OA(778, 16820, F7, 18) (dual of [16820, 16742, 19]-code) | [i] | ||
| 49 | Linear OA(763, 16820, F7, 14) (dual of [16820, 16757, 15]-code) | [i] | ||
| 50 | Linear OA(758, 16820, F7, 13) (dual of [16820, 16762, 14]-code) | [i] | ||
| 51 | Linear OA(753, 16820, F7, 12) (dual of [16820, 16767, 13]-code) | [i] | ||
| 52 | Linear OA(799, 2412, F7, 28) (dual of [2412, 2313, 29]-code) | [i] | ||
| 53 | Linear OA(795, 2412, F7, 27) (dual of [2412, 2317, 28]-code) | [i] | ||
| 54 | Linear OA(791, 2412, F7, 26) (dual of [2412, 2321, 27]-code) | [i] | ||
| 55 | Linear OA(787, 2412, F7, 25) (dual of [2412, 2325, 26]-code) | [i] | ||
| 56 | Linear OA(784, 2413, F7, 24) (dual of [2413, 2329, 25]-code) | [i] | ||
| 57 | Linear OA(771, 2412, F7, 20) (dual of [2412, 2341, 21]-code) | [i] | ||
| 58 | Linear OA(763, 2412, F7, 18) (dual of [2412, 2349, 19]-code) | [i] | ||
| 59 | Linear OA(751, 2412, F7, 14) (dual of [2412, 2361, 15]-code) | [i] | ||
| 60 | Linear OA(747, 2412, F7, 13) (dual of [2412, 2365, 14]-code) | [i] | ||
| 61 | Linear OA(743, 2412, F7, 12) (dual of [2412, 2369, 13]-code) | [i] | ||
| 62 | Linear OA(739, 2412, F7, 11) (dual of [2412, 2373, 12]-code) | [i] | ||
| 63 | Linear OA(736, 2413, F7, 10) (dual of [2413, 2377, 11]-code) | [i] | ||
| 64 | Linear OA(7108, 352, F7, 41) (dual of [352, 244, 42]-code) | [i] | ||
| 65 | Linear OA(7105, 352, F7, 40) (dual of [352, 247, 41]-code) | [i] | ||
| 66 | Linear OA(7102, 352, F7, 39) (dual of [352, 250, 40]-code) | [i] | ||
| 67 | Linear OA(7100, 353, F7, 38) (dual of [353, 253, 39]-code) | [i] | ||
| 68 | Linear OA(790, 352, F7, 34) (dual of [352, 262, 35]-code) | [i] | ||
| 69 | Linear OA(784, 352, F7, 32) (dual of [352, 268, 33]-code) | [i] | ||
| 70 | Linear OA(772, 352, F7, 27) (dual of [352, 280, 28]-code) | [i] | ||
| 71 | Linear OA(769, 352, F7, 26) (dual of [352, 283, 27]-code) | [i] | ||
| 72 | Linear OA(766, 352, F7, 25) (dual of [352, 286, 26]-code) | [i] | ||
| 73 | Linear OA(764, 353, F7, 24) (dual of [353, 289, 25]-code) | [i] | ||
| 74 | Linear OA(754, 352, F7, 20) (dual of [352, 298, 21]-code) | [i] | ||
| 75 | Linear OA(748, 352, F7, 18) (dual of [352, 304, 19]-code) | [i] | ||
| 76 | Linear OA(736, 352, F7, 13) (dual of [352, 316, 14]-code) | [i] | ||
| 77 | Linear OA(733, 352, F7, 12) (dual of [352, 319, 13]-code) | [i] | ||
| 78 | Linear OA(730, 352, F7, 11) (dual of [352, 322, 12]-code) | [i] | ||
| 79 | Linear OA(728, 353, F7, 10) (dual of [353, 325, 11]-code) | [i] | ||
| 80 | Linear OA(7105, 181, F7, 46) (dual of [181, 76, 47]-code) | [i] | ||
| 81 | Linear OA(7103, 182, F7, 45) (dual of [182, 79, 46]-code) | [i] | ||
| 82 | Linear OA(797, 182, F7, 42) (dual of [182, 85, 43]-code) | [i] | ||
| 83 | Linear OA(790, 181, F7, 39) (dual of [181, 91, 40]-code) | [i] | ||
| 84 | Linear OA(788, 182, F7, 38) (dual of [182, 94, 39]-code) | [i] | ||
| 85 | Linear OA(782, 182, F7, 35) (dual of [182, 100, 36]-code) | [i] | ||
| 86 | Linear OA(775, 181, F7, 32) (dual of [181, 106, 33]-code) | [i] | ||
| 87 | Linear OA(777, 187, F7, 31) (dual of [187, 110, 32]-code) | [i] | ||
| 88 | Linear OA(776, 185, F7, 31) (dual of [185, 109, 32]-code) | [i] | ||
| 89 | Linear OA(758, 124, F7, 25) (dual of [124, 66, 26]-code) | [i] | ||
| 90 | Linear OA(756, 125, F7, 24) (dual of [125, 69, 25]-code) | [i] | ||
| 91 | Linear OA(750, 5764811, F7, 8) (dual of [5764811, 5764761, 9]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 92 | Linear OA(798, 5764819, F7, 14) (dual of [5764819, 5764721, 15]-code) | [i] | ||
| 93 | Linear OA(790, 5764819, F7, 13) (dual of [5764819, 5764729, 14]-code) | [i] | ||
| 94 | Linear OA(782, 5764819, F7, 12) (dual of [5764819, 5764737, 13]-code) | [i] | ||
| 95 | Linear OA(774, 5764819, F7, 11) (dual of [5764819, 5764745, 12]-code) | [i] | ||
| 96 | Linear OA(766, 5764819, F7, 10) (dual of [5764819, 5764753, 11]-code) | [i] | ||
| 97 | Linear OA(744, 823552, F7, 8) (dual of [823552, 823508, 9]-code) | [i] | ||
| 98 | Linear OA(737, 823552, F7, 6) (dual of [823552, 823515, 7]-code) | [i] | ||
| 99 | Linear OA(723, 823552, F7, 4) (dual of [823552, 823529, 5]-code) | [i] | ||
| 100 | Linear OA(786, 823559, F7, 14) (dual of [823559, 823473, 15]-code) | [i] | ||
| 101 | Linear OA(779, 823559, F7, 13) (dual of [823559, 823480, 14]-code) | [i] | ||
| 102 | Linear OA(772, 823559, F7, 12) (dual of [823559, 823487, 13]-code) | [i] | ||
| 103 | Linear OA(765, 823559, F7, 11) (dual of [823559, 823494, 12]-code) | [i] | ||
| 104 | Linear OA(758, 823559, F7, 10) (dual of [823559, 823501, 11]-code) | [i] | ||
| 105 | Linear OA(737, 823559, F7, 6) (dual of [823559, 823522, 7]-code) | [i] | ||
| 106 | Linear OA(723, 823559, F7, 4) (dual of [823559, 823536, 5]-code) | [i] | ||
| 107 | Linear OA(768, 117663, F7, 13) (dual of [117663, 117595, 14]-code) | [i] | ||
| 108 | Linear OA(762, 117663, F7, 12) (dual of [117663, 117601, 13]-code) | [i] | ||
| 109 | Linear OA(756, 117663, F7, 11) (dual of [117663, 117607, 12]-code) | [i] | ||
| 110 | Linear OA(750, 117663, F7, 10) (dual of [117663, 117613, 11]-code) | [i] | ||
| 111 | Linear OA(798, 117669, F7, 18) (dual of [117669, 117571, 19]-code) | [i] | ||
| 112 | Linear OA(747, 16819, F7, 11) (dual of [16819, 16772, 12]-code) | [i] | ||
| 113 | Linear OA(742, 16819, F7, 10) (dual of [16819, 16777, 11]-code) | [i] | ||
| 114 | Linear OA(727, 16819, F7, 6) (dual of [16819, 16792, 7]-code) | [i] | ||
| 115 | Linear OA(717, 16819, F7, 4) (dual of [16819, 16802, 5]-code) | [i] | ||
| 116 | Linear OA(762, 16824, F7, 13) (dual of [16824, 16762, 14]-code) | [i] | ||
| 117 | Linear OA(757, 16824, F7, 12) (dual of [16824, 16767, 13]-code) | [i] | ||
| 118 | Linear OA(717, 351, F7, 6) (dual of [351, 334, 7]-code) | [i] | ||
| 119 | Linear OA(729, 354, F7, 10) (dual of [354, 325, 11]-code) | [i] | ||