Information on Result #1619929
Linear OOA(2168, 422, F2, 5, 29) (dual of [(422, 5), 1942, 30]-NRT-code), using OOA 2-folding based on linear OOA(2168, 844, F2, 3, 29) (dual of [(844, 3), 2364, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2168, 844, F2, 2, 29) (dual of [(844, 2), 1520, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2168, 1047, F2, 2, 29) (dual of [(1047, 2), 1926, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2168, 2094, F2, 29) (dual of [2094, 1926, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(2155, 2048, F2, 29) (dual of [2048, 1893, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2122, 2048, F2, 23) (dual of [2048, 1926, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(213, 46, F2, 5) (dual of [46, 33, 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 2-folding [i] based on linear OA(2168, 2094, F2, 29) (dual of [2094, 1926, 30]-code), using
- discarding factors / shortening the dual code based on linear OOA(2168, 1047, F2, 2, 29) (dual of [(1047, 2), 1926, 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.