Information on Result #1303423
Linear OA(9115, 130, F9, 83) (dual of [130, 15, 84]-code), using construction X with Varšamov bound based on
- linear OA(9114, 128, F9, 83) (dual of [128, 14, 84]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9113, 126, F9, 83) (dual of [126, 13, 84]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9111, 123, F9, 83) (dual of [123, 12, 84]-code), using
- 7 times truncation [i] based on linear OA(9118, 130, F9, 90) (dual of [130, 12, 91]-code), using
- linear OA(9111, 124, F9, 81) (dual of [124, 13, 82]-code), using Gilbert–Varšamov bound and bm = 9111 > Vbs−1(k−1) = 6404 671442 305974 433682 335531 640352 089804 818949 901379 403278 413901 418732 204546 750828 722004 491416 437800 497561 [i]
- linear OA(91, 2, F9, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(9111, 123, F9, 83) (dual of [123, 12, 84]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9113, 127, F9, 82) (dual of [127, 14, 83]-code), using Gilbert–Varšamov bound and bm = 9113 > Vbs−1(k−1) = 618390 146060 598260 521264 210268 525612 276942 736560 736446 630173 296621 447837 567906 640121 147287 175444 478882 348209 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(9113, 126, F9, 83) (dual of [126, 13, 84]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9114, 129, F9, 82) (dual of [129, 15, 83]-code), using Gilbert–Varšamov bound and bm = 9114 > Vbs−1(k−1) = 4 597063 758774 628393 552062 750310 204677 819274 098209 796109 386006 571446 312391 919905 711538 091161 177196 046989 718529 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code) (see above)
Mode: 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
None.