Information on Result #947312
Linear OOA(299, 47, F2, 3, 32) (dual of [(47, 3), 42, 33]-NRT-code), using OOA 3-folding based on linear OA(299, 141, F2, 32) (dual of [141, 42, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(299, 142, F2, 32) (dual of [142, 43, 33]-code), using
- construction X applied to C([1,42]) ⊂ C([1,28]) [i] based on
- linear OA(298, 127, F2, 42) (dual of [127, 29, 43]-code), using the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(284, 127, F2, 30) (dual of [127, 43, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,28], and minimum distance d ≥ 31 (sporadic result) [i]
- linear OA(21, 15, F2, 1) (dual of [15, 14, 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 C([1,42]) ⊂ C([1,28]) [i] based on
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.