Information on Result #3011463
Linear OOA(2243, 149799, F2, 8, 24) (dual of [(149799, 8), 1198149, 25]-NRT-code), using 22 times duplication based on linear OOA(2241, 149799, F2, 8, 24) (dual of [(149799, 8), 1198151, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2241, 149799, F2, 7, 24) (dual of [(149799, 7), 1048352, 25]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2241, 1048593, F2, 24) (dual of [1048593, 1048352, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(2241, 1048596, F2, 24) (dual of [1048596, 1048355, 25]-code), using
- 1 times truncation [i] based on linear OA(2242, 1048597, F2, 25) (dual of [1048597, 1048355, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(2241, 1048576, F2, 25) (dual of [1048576, 1048335, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2221, 1048576, F2, 23) (dual of [1048576, 1048355, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(21, 21, F2, 1) (dual of [21, 20, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- 1 times truncation [i] based on linear OA(2242, 1048597, F2, 25) (dual of [1048597, 1048355, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2241, 1048596, F2, 24) (dual of [1048596, 1048355, 25]-code), using
- OOA 7-folding [i] based on linear OA(2241, 1048593, F2, 24) (dual of [1048593, 1048352, 25]-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.