Information on Result #1494995
Linear OOA(6458, 2174, F64, 3, 25) (dual of [(2174, 3), 6464, 26]-NRT-code), using OOA 2-folding based on linear OOA(6458, 4348, F64, 2, 25) (dual of [(4348, 2), 8638, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6458, 4348, F64, 25) (dual of [4348, 4290, 26]-code), using
- 241 step Varšamov–Edel lengthening with (ri) = (5, 0, 0, 1, 9 times 0, 1, 24 times 0, 1, 61 times 0, 1, 140 times 0) [i] based on linear OA(6449, 4098, F64, 25) (dual of [4098, 4049, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(6449, 4096, F64, 25) (dual of [4096, 4047, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(6447, 4096, F64, 24) (dual of [4096, 4049, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- 241 step Varšamov–Edel lengthening with (ri) = (5, 0, 0, 1, 9 times 0, 1, 24 times 0, 1, 61 times 0, 1, 140 times 0) [i] based on linear OA(6449, 4098, F64, 25) (dual of [4098, 4049, 26]-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.