Information on Result #1303411
Linear OA(9113, 126, F9, 83) (dual of [126, 13, 84]-code), using construction X with Varšamov bound 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
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9114, 128, F9, 83) (dual of [128, 14, 84]-code) | [i] | Construction X with Varšamov Bound | |