Information on Result #1747466
Digital (25, 46, 2733)-net over F128, using net defined by OOA based on linear OOA(12846, 2733, F128, 28, 21) (dual of [(2733, 28), 76478, 22]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12846, 8200, F128, 4, 21) (dual of [(8200, 4), 32754, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12846, 8201, F128, 4, 21) (dual of [(8201, 4), 32758, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12846, 8201, F128, 2, 21) (dual of [(8201, 2), 16356, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12846, 16402, F128, 21) (dual of [16402, 16356, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- linear OA(12841, 16385, F128, 21) (dual of [16385, 16344, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(12829, 16385, F128, 15) (dual of [16385, 16356, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(1285, 17, F128, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,128)), using
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- Reed–Solomon code RS(123,128) [i]
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- OOA 2-folding [i] based on linear OA(12846, 16402, F128, 21) (dual of [16402, 16356, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12846, 8201, F128, 2, 21) (dual of [(8201, 2), 16356, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12846, 8201, F128, 4, 21) (dual of [(8201, 4), 32758, 22]-NRT-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.