Information on Result #1512845
Linear OOA(2161, 481, F2, 3, 32) (dual of [(481, 3), 1282, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2161, 481, F2, 2, 32) (dual of [(481, 2), 801, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2161, 517, F2, 2, 32) (dual of [(517, 2), 873, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2161, 1034, F2, 32) (dual of [1034, 873, 33]-code), using
- 1 times truncation [i] based on linear OA(2162, 1035, F2, 33) (dual of [1035, 873, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- linear OA(2161, 1024, F2, 33) (dual of [1024, 863, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2151, 1024, F2, 31) (dual of [1024, 873, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(32) ⊂ Ce(30) [i] based on
- 1 times truncation [i] based on linear OA(2162, 1035, F2, 33) (dual of [1035, 873, 34]-code), using
- OOA 2-folding [i] based on linear OA(2161, 1034, F2, 32) (dual of [1034, 873, 33]-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.