Information on Result #1674869
Linear OOA(2177, 341, F2, 7, 33) (dual of [(341, 7), 2210, 34]-NRT-code), using OOA 2-folding based on linear OOA(2177, 682, F2, 4, 33) (dual of [(682, 4), 2551, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2177, 683, F2, 4, 33) (dual of [(683, 4), 2555, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2177, 683, F2, 3, 33) (dual of [(683, 3), 1872, 34]-NRT-code), using
- OOA 3-folding [i] based on 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]
- OOA 3-folding [i] based on linear OA(2177, 2049, F2, 33) (dual of [2049, 1872, 34]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2177, 683, F2, 3, 33) (dual of [(683, 3), 1872, 34]-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.