Information on Result #1691547
Linear OOA(2196, 1055, F2, 8, 29) (dual of [(1055, 8), 8244, 30]-NRT-code), using OOA 2-folding based on linear OOA(2196, 2110, F2, 4, 29) (dual of [(2110, 4), 8244, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2196, 2110, F2, 3, 29) (dual of [(2110, 3), 6134, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2196, 2748, F2, 3, 29) (dual of [(2748, 3), 8048, 30]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2196, 8244, F2, 29) (dual of [8244, 8048, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(2183, 8192, F2, 29) (dual of [8192, 8009, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2144, 8192, F2, 23) (dual of [8192, 8048, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(213, 52, F2, 5) (dual of [52, 39, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- OOA 3-folding [i] based on linear OA(2196, 8244, F2, 29) (dual of [8244, 8048, 30]-code), using
- discarding factors / shortening the dual code based on linear OOA(2196, 2748, F2, 3, 29) (dual of [(2748, 3), 8048, 30]-NRT-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.