Information on Result #1098442
Linear OOA(2256, 206, F2, 5, 52) (dual of [(206, 5), 774, 53]-NRT-code), using OOA 5-folding based on linear OA(2256, 1030, F2, 52) (dual of [1030, 774, 53]-code), using
- discarding factors / shortening the dual code based on linear OA(2256, 1034, F2, 52) (dual of [1034, 778, 53]-code), using
- 1 times truncation [i] based on linear OA(2257, 1035, F2, 53) (dual of [1035, 778, 54]-code), using
- construction X applied to Ce(52) ⊂ Ce(50) [i] based on
- linear OA(2256, 1024, F2, 53) (dual of [1024, 768, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(2246, 1024, F2, 51) (dual of [1024, 778, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [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(52) ⊂ Ce(50) [i] based on
- 1 times truncation [i] based on linear OA(2257, 1035, F2, 53) (dual of [1035, 778, 54]-code), using
Mode: Constructive and 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.