Information on Result #605053
Linear OA(74, 5, F7, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,7)), using dual of repetition code with length 5
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 OA(730, 35, F7, 23) (dual of [35, 5, 24]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(725, 30, F7, 19) (dual of [30, 5, 20]-code) | [i] | ||
| 3 | Linear OA(721, 30, F7, 14) (dual of [30, 9, 15]-code) | [i] | ||
| 4 | Linear OA(719, 25, F7, 14) (dual of [25, 6, 15]-code) | [i] | ||
| 5 | Linear OA(790, 16822, F7, 18) (dual of [16822, 16732, 19]-code) | [i] | ||
| 6 | Linear OA(765, 16817, F7, 13) (dual of [16817, 16752, 14]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(787, 823553, F7, 13) (dual of [823553, 823466, 14]-code) | [i] | ||
| 8 | Linear OA(760, 16817, F7, 12) (dual of [16817, 16757, 13]-code) | [i] | ||
| 9 | Linear OA(780, 823553, F7, 12) (dual of [823553, 823473, 13]-code) | [i] | ||
| 10 | Linear OA(780, 85, F7, 49) (dual of [85, 5, 50]-code) | [i] | Construction X with Cyclic Codes | |
| 11 | Linear OA(796, 105, F7, 59) (dual of [105, 9, 60]-code) | [i] | ||
| 12 | Linear OA(758, 68, F7, 39) (dual of [68, 10, 40]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 13 | Linear OA(754, 64, F7, 36) (dual of [64, 10, 37]-code) | [i] | ||
| 14 | Linear OA(787, 196, F7, 34) (dual of [196, 109, 35]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 15 | Linear OA(782, 191, F7, 33) (dual of [191, 109, 34]-code) | [i] | ||
| 16 | Linear OA(776, 185, F7, 31) (dual of [185, 109, 32]-code) | [i] | ||
| 17 | Linear OA(772, 181, F7, 30) (dual of [181, 109, 31]-code) | [i] | ||
| 18 | Linear OA(761, 71, F7, 41) (dual of [71, 10, 42]-code) | [i] | ||
| 19 | Linear OA(749, 59, F7, 34) (dual of [59, 10, 35]-code) | [i] | ||
| 20 | Linear OA(786, 195, F7, 34) (dual of [195, 109, 35]-code) | [i] | ||
| 21 | Linear OA(769, 78, F7, 49) (dual of [78, 9, 50]-code) | [i] | Construction X with Varšamov Bound | |
| 22 | Linear OA(776, 85, F7, 54) (dual of [85, 9, 55]-code) | [i] | ||
| 23 | Linear OA(777, 86, F7, 55) (dual of [86, 9, 56]-code) | [i] | ||
| 24 | Linear OA(781, 90, F7, 58) (dual of [90, 9, 59]-code) | [i] | ||
| 25 | Linear OA(782, 91, F7, 59) (dual of [91, 9, 60]-code) | [i] | ||
| 26 | Linear OA(783, 92, F7, 60) (dual of [92, 9, 61]-code) | [i] | ||
| 27 | Linear OA(784, 93, F7, 61) (dual of [93, 9, 62]-code) | [i] | ||
| 28 | Linear OA(799, 108, F7, 72) (dual of [108, 9, 73]-code) | [i] | ||
| 29 | Linear OA(7100, 109, F7, 73) (dual of [109, 9, 74]-code) | [i] | ||
| 30 | Linear OA(7101, 110, F7, 74) (dual of [110, 9, 75]-code) | [i] | ||
| 31 | Linear OA(7105, 114, F7, 77) (dual of [114, 9, 78]-code) | [i] | ||
| 32 | Linear OA(793, 104, F7, 66) (dual of [104, 11, 67]-code) | [i] | ||
| 33 | Linear OA(794, 105, F7, 67) (dual of [105, 11, 68]-code) | [i] | ||
| 34 | Linear OA(786, 105, F7, 56) (dual of [105, 19, 57]-code) | [i] | ||
| 35 | Linear OA(787, 106, F7, 57) (dual of [106, 19, 58]-code) | [i] | ||
| 36 | Linear OA(791, 106, F7, 62) (dual of [106, 15, 63]-code) | [i] | ||
| 37 | Linear OA(793, 106, F7, 65) (dual of [106, 13, 66]-code) | [i] | ||