Information on Result #1131801
Linear OOA(2101, 172, F2, 6, 20) (dual of [(172, 6), 931, 21]-NRT-code), using OOA 6-folding based on linear OA(2101, 1032, F2, 20) (dual of [1032, 931, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2101, 1034, F2, 20) (dual of [1034, 933, 21]-code), using
- 1 times truncation [i] based on linear OA(2102, 1035, F2, 21) (dual of [1035, 933, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(18) [i] based on
- linear OA(2101, 1024, F2, 21) (dual of [1024, 923, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(291, 1024, F2, 19) (dual of [1024, 933, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(20) ⊂ Ce(18) [i] based on
- 1 times truncation [i] based on linear OA(2102, 1035, F2, 21) (dual of [1035, 933, 22]-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.