Information on Result #736204
Linear OA(77, 14, F7, 6) (dual of [14, 7, 7]-code), using codes constructed by inverting construction Y1
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(741, 353, F7, 13) (dual of [353, 312, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(763, 16817, F7, 13) (dual of [16817, 16754, 14]-code) | [i] | ||
| 3 | Linear OA(785, 823553, F7, 13) (dual of [823553, 823468, 14]-code) | [i] | ||
| 4 | Linear OA(796, 5764811, F7, 13) (dual of [5764811, 5764715, 14]-code) | [i] | ||
| 5 | Linear OA(758, 16817, F7, 12) (dual of [16817, 16759, 13]-code) | [i] | ||
| 6 | Linear OA(778, 823553, F7, 12) (dual of [823553, 823475, 13]-code) | [i] | ||
| 7 | Linear OA(788, 5764811, F7, 12) (dual of [5764811, 5764723, 13]-code) | [i] | ||
| 8 | Linear OA(765, 69, F7, 54) (dual of [69, 4, 55]-code) | [i] | Juxtaposition | |
| 9 | Linear OA(745, 67, F7, 24) (dual of [67, 22, 25]-code) | [i] | Construction X with Cyclic Codes | |
| 10 | Linear OA(746, 61, F7, 31) (dual of [61, 15, 32]-code) | [i] | ||
| 11 | Linear OA(746, 62, F7, 30) (dual of [62, 16, 31]-code) | [i] | ||
| 12 | Linear OA(752, 60, F7, 40) (dual of [60, 8, 41]-code) | [i] | Construction XX with Cyclic Codes | |
| 13 | Linear OA(748, 61, F7, 33) (dual of [61, 13, 34]-code) | [i] | ||
| 14 | Linear OA(747, 62, F7, 32) (dual of [62, 15, 33]-code) | [i] | ||
| 15 | Linear OA(747, 63, F7, 31) (dual of [63, 16, 32]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 16 | Linear OA(771, 186, F7, 29) (dual of [186, 115, 30]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 17 | Linear OA(741, 63, F7, 25) (dual of [63, 22, 26]-code) | [i] | ||
| 18 | Linear OA(740, 63, F7, 24) (dual of [63, 23, 25]-code) | [i] | ||
| 19 | Linear OA(753, 62, F7, 40) (dual of [62, 9, 41]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 20 | Linear OA(749, 63, F7, 33) (dual of [63, 14, 34]-code) | [i] | ||
| 21 | Linear OA(748, 64, F7, 32) (dual of [64, 16, 33]-code) | [i] | ||
| 22 | Linear OA(761, 67, F7, 48) (dual of [67, 6, 49]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 23 | Linear OA(756, 60, F7, 48) (dual of [60, 4, 49]-code) | [i] | Construction X with Ovoid | |