Information on Result #1658609
Linear OOA(25668, 20263, F256, 6, 29) (dual of [(20263, 6), 121510, 30]-NRT-code), using OOA 2-folding based on linear OOA(25668, 40526, F256, 3, 29) (dual of [(40526, 3), 121510, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25668, 40526, F256, 29) (dual of [40526, 40458, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(25668, 65572, F256, 29) (dual of [65572, 65504, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,8]) [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(25633, 65537, F256, 17) (dual of [65537, 65504, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(25611, 35, F256, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,256)), using
- discarding factors / shortening the dual code based on linear OA(25611, 256, F256, 11) (dual of [256, 245, 12]-code or 256-arc in PG(10,256)), using
- Reed–Solomon code RS(245,256) [i]
- discarding factors / shortening the dual code based on linear OA(25611, 256, F256, 11) (dual of [256, 245, 12]-code or 256-arc in PG(10,256)), using
- construction X applied to C([0,14]) ⊂ C([0,8]) [i] based on
- discarding factors / shortening the dual code based on linear OA(25668, 65572, F256, 29) (dual of [65572, 65504, 30]-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.