Information on Result #1702023
Linear OOA(2197, 474, F2, 8, 41) (dual of [(474, 8), 3595, 42]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2197, 474, F2, 2, 41) (dual of [(474, 2), 751, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2197, 517, F2, 2, 41) (dual of [(517, 2), 837, 42]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2197, 1034, F2, 41) (dual of [1034, 837, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(2197, 1035, F2, 41) (dual of [1035, 838, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(38) [i] based on
- linear OA(2196, 1024, F2, 41) (dual of [1024, 828, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(2186, 1024, F2, 39) (dual of [1024, 838, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(21, 11, F2, 1) (dual of [11, 10, 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(40) ⊂ Ce(38) [i] based on
- discarding factors / shortening the dual code based on linear OA(2197, 1035, F2, 41) (dual of [1035, 838, 42]-code), using
- OOA 2-folding [i] based on linear OA(2197, 1034, F2, 41) (dual of [1034, 837, 42]-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.