Information on Result #548515
There is no linear OA(765, 71, F7, 56) (dual of [71, 6, 57]-code), because residual code would yield linear OA(79, 14, F7, 8) (dual of [14, 5, 9]-code), but
- “MPa†bound on codes from Brouwer’s database [i]
Mode: Bound (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 | No linear OA(766, 72, F7, 57) (dual of [72, 6, 58]-code) | [i] | Truncation | |
| 2 | No linear OA(767, 73, F7, 58) (dual of [73, 6, 59]-code) | [i] | ||
| 3 | No linear OA(768, 74, F7, 59) (dual of [74, 6, 60]-code) | [i] | ||
| 4 | No linear OOA(766, 71, F7, 2, 57) (dual of [(71, 2), 76, 58]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(767, 71, F7, 2, 58) (dual of [(71, 2), 75, 59]-NRT-code) | [i] | ||
| 6 | No linear OOA(768, 71, F7, 2, 59) (dual of [(71, 2), 74, 60]-NRT-code) | [i] | ||
| 7 | No linear OOA(769, 71, F7, 2, 60) (dual of [(71, 2), 73, 61]-NRT-code) | [i] | ||
| 8 | No linear OOA(770, 71, F7, 2, 61) (dual of [(71, 2), 72, 62]-NRT-code) | [i] | ||
| 9 | No linear OOA(771, 71, F7, 2, 62) (dual of [(71, 2), 71, 63]-NRT-code) | [i] | ||
| 10 | No linear OOA(772, 71, F7, 2, 63) (dual of [(71, 2), 70, 64]-NRT-code) | [i] | ||
| 11 | No linear OOA(773, 71, F7, 2, 64) (dual of [(71, 2), 69, 65]-NRT-code) | [i] | ||
| 12 | No linear OOA(774, 71, F7, 2, 65) (dual of [(71, 2), 68, 66]-NRT-code) | [i] | ||
| 13 | No linear OOA(775, 71, F7, 2, 66) (dual of [(71, 2), 67, 67]-NRT-code) | [i] | ||
| 14 | No linear OOA(776, 71, F7, 2, 67) (dual of [(71, 2), 66, 68]-NRT-code) | [i] | ||
| 15 | No linear OOA(777, 71, F7, 2, 68) (dual of [(71, 2), 65, 69]-NRT-code) | [i] | ||
| 16 | No linear OOA(778, 71, F7, 2, 69) (dual of [(71, 2), 64, 70]-NRT-code) | [i] | ||
| 17 | No linear OOA(779, 71, F7, 2, 70) (dual of [(71, 2), 63, 71]-NRT-code) | [i] | ||
| 18 | No linear OOA(780, 71, F7, 2, 71) (dual of [(71, 2), 62, 72]-NRT-code) | [i] | ||
| 19 | No linear OOA(781, 71, F7, 2, 72) (dual of [(71, 2), 61, 73]-NRT-code) | [i] | ||
| 20 | No linear OOA(782, 71, F7, 2, 73) (dual of [(71, 2), 60, 74]-NRT-code) | [i] | ||
| 21 | No linear OOA(783, 71, F7, 2, 74) (dual of [(71, 2), 59, 75]-NRT-code) | [i] | ||
| 22 | No linear OOA(784, 71, F7, 2, 75) (dual of [(71, 2), 58, 76]-NRT-code) | [i] | ||
| 23 | No linear OOA(785, 71, F7, 2, 76) (dual of [(71, 2), 57, 77]-NRT-code) | [i] | ||
| 24 | No linear OOA(786, 71, F7, 2, 77) (dual of [(71, 2), 56, 78]-NRT-code) | [i] | ||
| 25 | No linear OOA(787, 71, F7, 2, 78) (dual of [(71, 2), 55, 79]-NRT-code) | [i] | ||
| 26 | No linear OOA(788, 71, F7, 2, 79) (dual of [(71, 2), 54, 80]-NRT-code) | [i] | ||
| 27 | No linear OOA(789, 71, F7, 2, 80) (dual of [(71, 2), 53, 81]-NRT-code) | [i] | ||
| 28 | No linear OOA(790, 71, F7, 2, 81) (dual of [(71, 2), 52, 82]-NRT-code) | [i] | ||
| 29 | No linear OOA(791, 71, F7, 2, 82) (dual of [(71, 2), 51, 83]-NRT-code) | [i] | ||
| 30 | No linear OOA(792, 71, F7, 2, 83) (dual of [(71, 2), 50, 84]-NRT-code) | [i] | ||
| 31 | No linear OOA(793, 71, F7, 2, 84) (dual of [(71, 2), 49, 85]-NRT-code) | [i] | ||
| 32 | No linear OOA(794, 71, F7, 2, 85) (dual of [(71, 2), 48, 86]-NRT-code) | [i] | ||
| 33 | No linear OOA(795, 71, F7, 2, 86) (dual of [(71, 2), 47, 87]-NRT-code) | [i] | ||
| 34 | No linear OOA(796, 71, F7, 2, 87) (dual of [(71, 2), 46, 88]-NRT-code) | [i] | ||
| 35 | No linear OOA(797, 71, F7, 2, 88) (dual of [(71, 2), 45, 89]-NRT-code) | [i] | ||
| 36 | No linear OOA(798, 71, F7, 2, 89) (dual of [(71, 2), 44, 90]-NRT-code) | [i] | ||
| 37 | No linear OOA(799, 71, F7, 2, 90) (dual of [(71, 2), 43, 91]-NRT-code) | [i] | ||
| 38 | No linear OOA(7100, 71, F7, 2, 91) (dual of [(71, 2), 42, 92]-NRT-code) | [i] | ||
| 39 | No linear OOA(7101, 71, F7, 2, 92) (dual of [(71, 2), 41, 93]-NRT-code) | [i] | ||
| 40 | No linear OOA(7102, 71, F7, 2, 93) (dual of [(71, 2), 40, 94]-NRT-code) | [i] | ||
| 41 | No linear OOA(7103, 71, F7, 2, 94) (dual of [(71, 2), 39, 95]-NRT-code) | [i] | ||
| 42 | No linear OOA(7104, 71, F7, 2, 95) (dual of [(71, 2), 38, 96]-NRT-code) | [i] | ||
| 43 | No linear OOA(7105, 71, F7, 2, 96) (dual of [(71, 2), 37, 97]-NRT-code) | [i] | ||
| 44 | No linear OOA(7106, 71, F7, 2, 97) (dual of [(71, 2), 36, 98]-NRT-code) | [i] | ||
| 45 | No linear OOA(7107, 71, F7, 2, 98) (dual of [(71, 2), 35, 99]-NRT-code) | [i] | ||
| 46 | No linear OOA(7108, 71, F7, 2, 99) (dual of [(71, 2), 34, 100]-NRT-code) | [i] | ||
| 47 | No linear OOA(7109, 71, F7, 2, 100) (dual of [(71, 2), 33, 101]-NRT-code) | [i] | ||
| 48 | No linear OOA(7110, 71, F7, 2, 101) (dual of [(71, 2), 32, 102]-NRT-code) | [i] | ||
| 49 | No linear OOA(765, 71, F7, 2, 56) (dual of [(71, 2), 77, 57]-NRT-code) | [i] | Depth Reduction | |
| 50 | No linear OOA(765, 71, F7, 3, 56) (dual of [(71, 3), 148, 57]-NRT-code) | [i] | ||
| 51 | No digital (9, 65, 71)-net over F7 | [i] | Extracting Embedded Orthogonal Array | |