Information on Result #1814822
Digital (29, 58, 13091)-net over F256, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25658, 13091, F256, 5, 29) (dual of [(13091, 5), 65397, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25658, 13108, F256, 5, 29) (dual of [(13108, 5), 65482, 30]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25658, 65540, F256, 29) (dual of [65540, 65482, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(25658, 65542, F256, 29) (dual of [65542, 65484, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,13]) [i] based on
- linear OA(25657, 65537, F256, 29) (dual of [65537, 65480, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(25653, 65537, F256, 27) (dual of [65537, 65484, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,14]) ⊂ C([0,13]) [i] based on
- discarding factors / shortening the dual code based on linear OA(25658, 65542, F256, 29) (dual of [65542, 65484, 30]-code), using
- OOA 5-folding [i] based on linear OA(25658, 65540, F256, 29) (dual of [65540, 65482, 30]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.