Information on Result #1691584
Linear OOA(2203, 1072, F2, 8, 30) (dual of [(1072, 8), 8373, 31]-NRT-code), using OOA 2-folding based on linear OOA(2203, 2144, F2, 4, 30) (dual of [(2144, 4), 8373, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2203, 2145, F2, 4, 30) (dual of [(2145, 4), 8377, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2203, 2145, F2, 3, 30) (dual of [(2145, 3), 6232, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2203, 2741, F2, 3, 30) (dual of [(2741, 3), 8020, 31]-NRT-code), using
- 1 step truncation [i] based on linear OOA(2204, 2742, F2, 3, 31) (dual of [(2742, 3), 8022, 32]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2204, 8226, F2, 31) (dual of [8226, 8022, 32]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2202, 8224, F2, 31) (dual of [8224, 8022, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(26) [i] based on
- linear OA(2196, 8192, F2, 31) (dual of [8192, 7996, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2170, 8192, F2, 27) (dual of [8192, 8022, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(30) ⊂ Ce(26) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(2202, 8224, F2, 31) (dual of [8224, 8022, 32]-code), using
- OOA 3-folding [i] based on linear OA(2204, 8226, F2, 31) (dual of [8226, 8022, 32]-code), using
- 1 step truncation [i] based on linear OOA(2204, 2742, F2, 3, 31) (dual of [(2742, 3), 8022, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2203, 2741, F2, 3, 30) (dual of [(2741, 3), 8020, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2203, 2145, F2, 3, 30) (dual of [(2145, 3), 6232, 31]-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.