Information on Result #737924
Linear OA(9113, 59092, F9, 23) (dual of [59092, 58979, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,7]) based on
- linear OA(9101, 59050, F9, 23) (dual of [59050, 58949, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(971, 59050, F9, 15) (dual of [59050, 58979, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(912, 42, F9, 7) (dual of [42, 30, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 43, F9, 7) (dual of [43, 31, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(912, 41, F9, 7) (dual of [41, 29, 8]-code), using an extension Ce(6) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(910, 41, F9, 6) (dual of [41, 31, 7]-code), using an extension Ce(5) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(90, 2, F9, 0) (dual of [2, 2, 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
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(912, 43, F9, 7) (dual of [43, 31, 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.
Other Results with Identical Parameters
None.
Depending Results
None.