Information on Result #3330281
(13, 22, 8195)-net in base 64, using 641 times duplication based on (12, 21, 8195)-net in base 64, using
- base change [i] based on digital (9, 18, 8195)-net over F128, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12818, 8195, F128, 2, 9) (dual of [(8195, 2), 16372, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12818, 16390, F128, 9) (dual of [16390, 16372, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- linear OA(12817, 16385, F128, 9) (dual of [16385, 16368, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(12813, 16385, F128, 7) (dual of [16385, 16372, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- OOA 2-folding [i] based on linear OA(12818, 16390, F128, 9) (dual of [16390, 16372, 10]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12818, 8195, F128, 2, 9) (dual of [(8195, 2), 16372, 10]-NRT-code), using
Mode: Arbitrary.
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.