Information on Result #1152940
Linear OOA(2259, 594, F2, 7, 40) (dual of [(594, 7), 3899, 41]-NRT-code), using OOA 7-folding based on linear OA(2259, 4158, F2, 40) (dual of [4158, 3899, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(2259, 4161, F2, 40) (dual of [4161, 3902, 41]-code), using
- 1 times truncation [i] based on linear OA(2260, 4162, F2, 41) (dual of [4162, 3902, 42]-code), using
- construction X applied to C([0,20]) ⊂ C([0,16]) [i] based on
- linear OA(2241, 4097, F2, 41) (dual of [4097, 3856, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(2193, 4097, F2, 33) (dual of [4097, 3904, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(219, 65, F2, 7) (dual of [65, 46, 8]-code), using
- adding a parity check bit [i] based on linear OA(218, 64, F2, 6) (dual of [64, 46, 7]-code), using
- extracting embedded orthogonal array [i] based on digital (12, 18, 64)-net over F2, using
- adding a parity check bit [i] based on linear OA(218, 64, F2, 6) (dual of [64, 46, 7]-code), using
- construction X applied to C([0,20]) ⊂ C([0,16]) [i] based on
- 1 times truncation [i] based on linear OA(2260, 4162, F2, 41) (dual of [4162, 3902, 42]-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.