Information on Result #1495232
Linear OOA(6477, 1501, F64, 3, 35) (dual of [(1501, 3), 4426, 36]-NRT-code), using OOA 2-folding based on linear OOA(6477, 3002, F64, 2, 35) (dual of [(3002, 2), 5927, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6477, 3002, F64, 35) (dual of [3002, 2925, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(6477, 4122, F64, 35) (dual of [4122, 4045, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(25) [i] based on
- linear OA(6469, 4096, F64, 35) (dual of [4096, 4027, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(648, 26, F64, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,64)), using
- discarding factors / shortening the dual code based on linear OA(648, 64, F64, 8) (dual of [64, 56, 9]-code or 64-arc in PG(7,64)), using
- Reed–Solomon code RS(56,64) [i]
- discarding factors / shortening the dual code based on linear OA(648, 64, F64, 8) (dual of [64, 56, 9]-code or 64-arc in PG(7,64)), using
- construction X applied to Ce(34) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(6477, 4122, F64, 35) (dual of [4122, 4045, 36]-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.