Information on Result #1747596
Digital (25, 48, 1821)-net over F128, using net defined by OOA based on linear OOA(12848, 1821, F128, 28, 23) (dual of [(1821, 28), 50940, 24]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12848, 5464, F128, 4, 23) (dual of [(5464, 4), 21808, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12848, 5465, F128, 4, 23) (dual of [(5465, 4), 21812, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12848, 5465, F128, 3, 23) (dual of [(5465, 3), 16347, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12848, 16395, F128, 23) (dual of [16395, 16347, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(12848, 16396, F128, 23) (dual of [16396, 16348, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,9]) [i] based on
- linear OA(12845, 16385, F128, 23) (dual of [16385, 16340, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(12837, 16385, F128, 19) (dual of [16385, 16348, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(1283, 11, F128, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,128) or 11-cap in PG(2,128)), using
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- Reed–Solomon code RS(125,128) [i]
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- construction X applied to C([0,11]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12848, 16396, F128, 23) (dual of [16396, 16348, 24]-code), using
- OOA 3-folding [i] based on linear OA(12848, 16395, F128, 23) (dual of [16395, 16347, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12848, 5465, F128, 3, 23) (dual of [(5465, 3), 16347, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12848, 5465, F128, 4, 23) (dual of [(5465, 4), 21812, 24]-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.