Information on Result #1303583
Linear OA(9146, 156, F9, 112) (dual of [156, 10, 113]-code), using construction X with Varšamov bound based on
- linear OA(9144, 153, F9, 112) (dual of [153, 9, 113]-code), using
- 6 times truncation [i] based on linear OA(9150, 159, F9, 118) (dual of [159, 9, 119]-code), using
- juxtaposition [i] based on
- linear OA(968, 77, F9, 56) (dual of [77, 9, 57]-code), using
- 5 times truncation [i] based on linear OA(973, 82, F9, 61) (dual of [82, 9, 62]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (BCH-bound) [i]
- 5 times truncation [i] based on linear OA(973, 82, F9, 61) (dual of [82, 9, 62]-code), using
- linear OA(973, 82, F9, 61) (dual of [82, 9, 62]-code) (see above)
- linear OA(968, 77, F9, 56) (dual of [77, 9, 57]-code), using
- juxtaposition [i] based on
- 6 times truncation [i] based on linear OA(9150, 159, F9, 118) (dual of [159, 9, 119]-code), using
- linear OA(9144, 154, F9, 110) (dual of [154, 10, 111]-code), using Gilbert–Varšamov bound and bm = 9144 > Vbs−1(k−1) = 203862 597214 109563 023111 001029 763416 215812 812145 726735 907301 583520 887877 222585 606298 116013 550686 388718 313585 933938 076937 009797 082594 768841 [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.
Other Results with Identical Parameters
None.
Depending Results
None.