Information on Result #1688084
Linear OOA(2239, 1103, F2, 7, 40) (dual of [(1103, 7), 7482, 41]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2239, 1103, F2, 40) (dual of [1103, 864, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(2239, 2111, F2, 40) (dual of [2111, 1872, 41]-code), using
- 1 times truncation [i] based on linear OA(2240, 2112, F2, 41) (dual of [2112, 1872, 42]-code), using
- construction X applied to C([0,20]) ⊂ C([0,16]) [i] based on
- linear OA(2221, 2049, F2, 41) (dual of [2049, 1828, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(2177, 2049, F2, 33) (dual of [2049, 1872, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(219, 63, F2, 7) (dual of [63, 44, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 8 [i]
- construction X applied to C([0,20]) ⊂ C([0,16]) [i] based on
- 1 times truncation [i] based on linear OA(2240, 2112, F2, 41) (dual of [2112, 1872, 42]-code), 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.