Information on Result #2244638
Linear OA(57, 11, F5, 6) (dual of [11, 4, 7]-code), using 1 times truncation based on linear OA(58, 12, F5, 7) (dual of [12, 4, 8]-code), using
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(548, 636, F5, 13) (dual of [636, 588, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(558, 3136, F5, 13) (dual of [3136, 3078, 14]-code) | [i] | ||
| 3 | Linear OA(568, 15636, F5, 13) (dual of [15636, 15568, 14]-code) | [i] | ||
| 4 | Linear OA(578, 78136, F5, 13) (dual of [78136, 78058, 14]-code) | [i] | ||
| 5 | Linear OA(588, 390636, F5, 13) (dual of [390636, 390548, 14]-code) | [i] | ||
| 6 | Linear OA(598, 1953136, F5, 13) (dual of [1953136, 1953038, 14]-code) | [i] | ||
| 7 | Linear OA(544, 635, F5, 12) (dual of [635, 591, 13]-code) | [i] | ||
| 8 | Linear OA(553, 3135, F5, 12) (dual of [3135, 3082, 13]-code) | [i] | ||
| 9 | Linear OA(562, 15635, F5, 12) (dual of [15635, 15573, 13]-code) | [i] | ||
| 10 | Linear OA(571, 78135, F5, 12) (dual of [78135, 78064, 13]-code) | [i] | ||
| 11 | Linear OA(580, 390635, F5, 12) (dual of [390635, 390555, 13]-code) | [i] | ||
| 12 | Linear OA(589, 1953135, F5, 12) (dual of [1953135, 1953046, 13]-code) | [i] | ||
| 13 | Linear OA(568, 135, F5, 31) (dual of [135, 67, 32]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 14 | Linear OA(593, 160, F5, 38) (dual of [160, 67, 39]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 15 | Linear OA(592, 158, F5, 38) (dual of [158, 66, 39]-code) | [i] | ||
| 16 | Linear OA(588, 155, F5, 37) (dual of [155, 67, 38]-code) | [i] | ||
| 17 | Linear OA(587, 153, F5, 37) (dual of [153, 66, 38]-code) | [i] | ||
| 18 | Linear OA(584, 150, F5, 35) (dual of [150, 66, 36]-code) | [i] | ||
| 19 | Linear OA(576, 143, F5, 33) (dual of [143, 67, 34]-code) | [i] | ||
| 20 | Linear OA(575, 141, F5, 33) (dual of [141, 66, 34]-code) | [i] | ||
| 21 | Linear OA(5104, 134, F5, 58) (dual of [134, 30, 59]-code) | [i] | Construction X with Varšamov Bound | |
| 22 | Linear OA(5104, 133, F5, 59) (dual of [133, 29, 60]-code) | [i] | ||
| 23 | Linear OA(5105, 135, F5, 59) (dual of [135, 30, 60]-code) | [i] | ||
| 24 | Linear OA(5106, 137, F5, 59) (dual of [137, 31, 60]-code) | [i] | ||
| 25 | Linear OA(5105, 134, F5, 60) (dual of [134, 29, 61]-code) | [i] | ||
| 26 | Linear OA(5111, 139, F5, 64) (dual of [139, 28, 65]-code) | [i] | ||
| 27 | Linear OA(5112, 141, F5, 64) (dual of [141, 29, 65]-code) | [i] | ||
| 28 | Linear OA(5113, 143, F5, 64) (dual of [143, 30, 65]-code) | [i] | ||
| 29 | Linear OA(5114, 145, F5, 64) (dual of [145, 31, 65]-code) | [i] | ||