Information on Result #689977
Linear OA(9124, 769, F9, 41) (dual of [769, 645, 42]-code), using construction X applied to C([0,20]) ⊂ C([0,15]) based on
- linear OA(9109, 730, F9, 41) (dual of [730, 621, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(985, 730, F9, 31) (dual of [730, 645, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(915, 39, F9, 9) (dual of [39, 24, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(915, 40, F9, 9) (dual of [40, 25, 10]-code), using
- 2 times truncation [i] based on linear OA(917, 42, F9, 11) (dual of [42, 25, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(917, 41, F9, 11) (dual of [41, 24, 12]-code), using an extension Ce(10) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(916, 41, F9, 10) (dual of [41, 25, 11]-code), using an extension Ce(9) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- 2 times truncation [i] based on linear OA(917, 42, F9, 11) (dual of [42, 25, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(915, 40, F9, 9) (dual of [40, 25, 10]-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.