Information on Result #737926
Linear OA(993, 59092, F9, 19) (dual of [59092, 58999, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,5]) based on
- linear OA(981, 59050, F9, 19) (dual of [59050, 58969, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(951, 59050, F9, 11) (dual of [59050, 58999, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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.