Information on Result #1583890
Linear OOA(12872, 6620, F128, 4, 31) (dual of [(6620, 4), 26408, 32]-NRT-code), using OOA 2-folding based on linear OOA(12872, 13240, F128, 2, 31) (dual of [(13240, 2), 26408, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12872, 13240, F128, 31) (dual of [13240, 13168, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(12872, 16420, F128, 31) (dual of [16420, 16348, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,9]) [i] based on
- linear OA(12861, 16385, F128, 31) (dual of [16385, 16324, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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(12811, 35, F128, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,128)), using
- discarding factors / shortening the dual code based on linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using
- Reed–Solomon code RS(117,128) [i]
- discarding factors / shortening the dual code based on linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using
- construction X applied to C([0,15]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12872, 16420, F128, 31) (dual of [16420, 16348, 32]-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.