Information on Result #1691293
Linear OOA(2125, 1259, F2, 8, 18) (dual of [(1259, 8), 9947, 19]-NRT-code), using OOA 2-folding based on linear OOA(2125, 2518, F2, 4, 18) (dual of [(2518, 4), 9947, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2125, 2519, F2, 4, 18) (dual of [(2519, 4), 9951, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2125, 2519, F2, 3, 18) (dual of [(2519, 3), 7432, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2125, 2741, F2, 3, 18) (dual of [(2741, 3), 8098, 19]-NRT-code), using
- 1 step truncation [i] based on linear OOA(2126, 2742, F2, 3, 19) (dual of [(2742, 3), 8100, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2126, 8226, F2, 19) (dual of [8226, 8100, 20]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2124, 8224, F2, 19) (dual of [8224, 8100, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- linear OA(2118, 8192, F2, 19) (dual of [8192, 8074, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(292, 8192, F2, 15) (dual of [8192, 8100, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(2124, 8224, F2, 19) (dual of [8224, 8100, 20]-code), using
- OOA 3-folding [i] based on linear OA(2126, 8226, F2, 19) (dual of [8226, 8100, 20]-code), using
- 1 step truncation [i] based on linear OOA(2126, 2742, F2, 3, 19) (dual of [(2742, 3), 8100, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2125, 2741, F2, 3, 18) (dual of [(2741, 3), 8098, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2125, 2519, F2, 3, 18) (dual of [(2519, 3), 7432, 19]-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.