Information on Result #701341
Linear OA(712, 48, F7, 7) (dual of [48, 36, 8]-code), using the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 8
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(712, 30, F7, 2, 7) (dual of [(30, 2), 48, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(712, 30, F7, 3, 7) (dual of [(30, 3), 78, 8]-NRT-code) | [i] | ||
| 3 | Digital (5, 12, 30)-net over F7 | [i] | ||
| 4 | Linear OA(7109, 117698, F7, 19) (dual of [117698, 117589, 20]-code) | [i] | Construction X with Cyclic Codes | |
| 5 | Linear OA(797, 117698, F7, 17) (dual of [117698, 117601, 18]-code) | [i] | ||
| 6 | Linear OA(793, 16850, F7, 19) (dual of [16850, 16757, 20]-code) | [i] | ||
| 7 | Linear OA(783, 16850, F7, 17) (dual of [16850, 16767, 18]-code) | [i] | ||
| 8 | Linear OA(7109, 2438, F7, 29) (dual of [2438, 2329, 30]-code) | [i] | ||
| 9 | Linear OA(797, 374, F7, 33) (dual of [374, 277, 34]-code) | [i] | ||
| 10 | Linear OA(791, 374, F7, 31) (dual of [374, 283, 32]-code) | [i] | ||
| 11 | Linear OA(785, 374, F7, 29) (dual of [374, 289, 30]-code) | [i] | ||
| 12 | Linear OA(7109, 380, F7, 37) (dual of [380, 271, 38]-code) | [i] | ||
| 13 | Linear OA(779, 380, F7, 25) (dual of [380, 301, 26]-code) | [i] | ||
| 14 | Linear OA(7100, 201, F7, 40) (dual of [201, 101, 41]-code) | [i] | ||
| 15 | Linear OA(723, 59, F7, 12) (dual of [59, 36, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 16 | Linear OA(7102, 209, F7, 40) (dual of [209, 107, 41]-code) | [i] | ||
| 17 | Linear OA(7103, 204, F7, 41) (dual of [204, 101, 42]-code) | [i] | ||
| 18 | Linear OA(7106, 204, F7, 42) (dual of [204, 98, 43]-code) | [i] | ||
| 19 | Linear OA(764, 378, F7, 20) (dual of [378, 314, 21]-code) | [i] | ||
| 20 | Linear OA(767, 378, F7, 21) (dual of [378, 311, 22]-code) | [i] | ||
| 21 | Linear OA(772, 383, F7, 23) (dual of [383, 311, 24]-code) | [i] | ||
| 22 | Linear OA(773, 378, F7, 24) (dual of [378, 305, 25]-code) | [i] | ||
| 23 | Linear OA(777, 382, F7, 25) (dual of [382, 305, 26]-code) | [i] | ||
| 24 | Linear OA(776, 378, F7, 25) (dual of [378, 302, 26]-code) | [i] | ||
| 25 | Linear OA(780, 382, F7, 26) (dual of [382, 302, 27]-code) | [i] | ||
| 26 | Linear OA(779, 378, F7, 26) (dual of [378, 299, 27]-code) | [i] | ||
| 27 | Linear OA(785, 387, F7, 27) (dual of [387, 302, 28]-code) | [i] | ||
| 28 | Linear OA(783, 382, F7, 27) (dual of [382, 299, 28]-code) | [i] | ||
| 29 | Linear OA(782, 378, F7, 27) (dual of [378, 296, 28]-code) | [i] | ||
| 30 | Linear OA(788, 387, F7, 28) (dual of [387, 299, 29]-code) | [i] | ||
| 31 | Linear OA(786, 382, F7, 28) (dual of [382, 296, 29]-code) | [i] | ||
| 32 | Linear OA(785, 378, F7, 28) (dual of [378, 293, 29]-code) | [i] | ||
| 33 | Linear OA(792, 388, F7, 30) (dual of [388, 296, 31]-code) | [i] | ||
| 34 | Linear OA(790, 383, F7, 30) (dual of [383, 293, 31]-code) | [i] | ||
| 35 | Linear OA(797, 393, F7, 31) (dual of [393, 296, 32]-code) | [i] | ||
| 36 | Linear OA(795, 388, F7, 31) (dual of [388, 293, 32]-code) | [i] | ||
| 37 | Linear OA(791, 378, F7, 31) (dual of [378, 287, 32]-code) | [i] | ||
| 38 | Linear OA(7101, 397, F7, 32) (dual of [397, 296, 33]-code) | [i] | ||
| 39 | Linear OA(7100, 393, F7, 32) (dual of [393, 293, 33]-code) | [i] | ||
| 40 | Linear OA(795, 382, F7, 32) (dual of [382, 287, 33]-code) | [i] | ||
| 41 | Linear OA(794, 378, F7, 32) (dual of [378, 284, 33]-code) | [i] | ||
| 42 | Linear OA(7104, 397, F7, 33) (dual of [397, 293, 34]-code) | [i] | ||
| 43 | Linear OA(7100, 387, F7, 33) (dual of [387, 287, 34]-code) | [i] | ||
| 44 | Linear OA(798, 382, F7, 33) (dual of [382, 284, 34]-code) | [i] | ||
| 45 | Linear OA(797, 378, F7, 33) (dual of [378, 281, 34]-code) | [i] | ||
| 46 | Linear OA(7104, 391, F7, 34) (dual of [391, 287, 35]-code) | [i] | ||
| 47 | Linear OA(7103, 387, F7, 34) (dual of [387, 284, 35]-code) | [i] | ||
| 48 | Linear OA(7101, 382, F7, 34) (dual of [382, 281, 35]-code) | [i] | ||
| 49 | Linear OA(7100, 378, F7, 34) (dual of [378, 278, 35]-code) | [i] | ||
| 50 | Linear OA(7106, 394, F7, 34) (dual of [394, 288, 35]-code) | [i] | ||
| 51 | Linear OA(7109, 396, F7, 35) (dual of [396, 287, 36]-code) | [i] | ||
| 52 | Linear OA(7107, 391, F7, 35) (dual of [391, 284, 36]-code) | [i] | ||
| 53 | Linear OA(7106, 387, F7, 35) (dual of [387, 281, 36]-code) | [i] | ||
| 54 | Linear OA(7104, 382, F7, 35) (dual of [382, 278, 36]-code) | [i] | ||
| 55 | Linear OA(7103, 378, F7, 35) (dual of [378, 275, 36]-code) | [i] | ||
| 56 | Linear OA(7110, 398, F7, 35) (dual of [398, 288, 36]-code) | [i] | ||
| 57 | Linear OA(7110, 395, F7, 36) (dual of [395, 285, 37]-code) | [i] | ||
| 58 | Linear OA(7110, 388, F7, 37) (dual of [388, 278, 38]-code) | [i] | ||
| 59 | Linear OA(7108, 383, F7, 37) (dual of [383, 275, 38]-code) | [i] | ||
| 60 | Linear OA(7109, 378, F7, 38) (dual of [378, 269, 39]-code) | [i] | ||
| 61 | Linear OA(7108, 16854, F7, 23) (dual of [16854, 16746, 24]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 62 | Linear OA(798, 16854, F7, 20) (dual of [16854, 16756, 21]-code) | [i] | ||
| 63 | Linear OA(793, 16854, F7, 19) (dual of [16854, 16761, 20]-code) | [i] | ||
| 64 | Linear OA(788, 16854, F7, 18) (dual of [16854, 16766, 19]-code) | [i] | ||
| 65 | Linear OA(783, 16854, F7, 17) (dual of [16854, 16771, 18]-code) | [i] | ||
| 66 | Linear OA(778, 16854, F7, 16) (dual of [16854, 16776, 17]-code) | [i] | ||
| 67 | Linear OA(7105, 2441, F7, 27) (dual of [2441, 2336, 28]-code) | [i] | ||
| 68 | Linear OA(7101, 2441, F7, 26) (dual of [2441, 2340, 27]-code) | [i] | ||
| 69 | Linear OA(797, 2441, F7, 25) (dual of [2441, 2344, 26]-code) | [i] | ||
| 70 | Linear OA(793, 2441, F7, 24) (dual of [2441, 2348, 25]-code) | [i] | ||
| 71 | Linear OA(789, 2441, F7, 23) (dual of [2441, 2352, 24]-code) | [i] | ||
| 72 | Linear OA(7109, 376, F7, 38) (dual of [376, 267, 39]-code) | [i] | ||
| 73 | Linear OA(7106, 376, F7, 37) (dual of [376, 270, 38]-code) | [i] | ||
| 74 | Linear OA(7100, 376, F7, 34) (dual of [376, 276, 35]-code) | [i] | ||
| 75 | Linear OA(797, 376, F7, 33) (dual of [376, 279, 34]-code) | [i] | ||
| 76 | Linear OA(794, 376, F7, 32) (dual of [376, 282, 33]-code) | [i] | ||
| 77 | Linear OA(791, 376, F7, 31) (dual of [376, 285, 32]-code) | [i] | ||
| 78 | Linear OA(788, 376, F7, 30) (dual of [376, 288, 31]-code) | [i] | ||
| 79 | Linear OA(782, 376, F7, 27) (dual of [376, 294, 28]-code) | [i] | ||
| 80 | Linear OA(779, 376, F7, 26) (dual of [376, 297, 27]-code) | [i] | ||
| 81 | Linear OA(776, 376, F7, 25) (dual of [376, 300, 26]-code) | [i] | ||
| 82 | Linear OA(773, 376, F7, 24) (dual of [376, 303, 25]-code) | [i] | ||
| 83 | Linear OA(770, 376, F7, 23) (dual of [376, 306, 24]-code) | [i] | ||
| 84 | Linear OA(764, 376, F7, 20) (dual of [376, 312, 21]-code) | [i] | ||
| 85 | Linear OA(7109, 202, F7, 44) (dual of [202, 93, 45]-code) | [i] | ||
| 86 | Linear OA(7103, 202, F7, 41) (dual of [202, 99, 42]-code) | [i] | ||
| 87 | Linear OOA(712, 24, F7, 2, 7) (dual of [(24, 2), 36, 8]-NRT-code) | [i] | OOA Folding | |
| 88 | Linear OOA(712, 16, F7, 3, 7) (dual of [(16, 3), 36, 8]-NRT-code) | [i] | ||