Information on Result #1657859
Linear OOA(2259, 876, F2, 6, 40) (dual of [(876, 6), 4997, 41]-NRT-code), using OOA 2-folding based on linear OOA(2259, 1752, F2, 3, 40) (dual of [(1752, 3), 4997, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2259, 1753, F2, 3, 40) (dual of [(1753, 3), 5000, 41]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2259, 1753, F2, 2, 40) (dual of [(1753, 2), 3247, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2259, 2080, F2, 2, 40) (dual of [(2080, 2), 3901, 41]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2259, 4160, F2, 40) (dual of [4160, 3901, 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
- discarding factors / shortening the dual code based on linear OA(2259, 4161, F2, 40) (dual of [4161, 3902, 41]-code), using
- OOA 2-folding [i] based on linear OA(2259, 4160, F2, 40) (dual of [4160, 3901, 41]-code), using
- discarding factors / shortening the dual code based on linear OOA(2259, 2080, F2, 2, 40) (dual of [(2080, 2), 3901, 41]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2259, 1753, F2, 2, 40) (dual of [(1753, 2), 3247, 41]-NRT-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.