Information on Result #811049
Linear OOA(2157, 86, F2, 2, 72) (dual of [(86, 2), 15, 73]-NRT-code), using OOA 2-folding based on linear OA(2157, 172, F2, 72) (dual of [172, 15, 73]-code), using
- discarding factors / shortening the dual code based on linear OA(2157, 173, F2, 72) (dual of [173, 16, 73]-code), using
- 1 times truncation [i] based on linear OA(2158, 174, F2, 73) (dual of [174, 16, 74]-code), using
- concatenation of two codes [i] based on
- linear OA(450, 58, F4, 36) (dual of [58, 8, 37]-code), using
- 7 times truncation [i] based on linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- 7 times truncation [i] based on linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(450, 58, F4, 36) (dual of [58, 8, 37]-code), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(2158, 174, F2, 73) (dual of [174, 16, 74]-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.