Information on Result #2945100
Linear OOA(2107, 4683, F2, 7, 14) (dual of [(4683, 7), 32674, 15]-NRT-code), using strength reduction based on linear OOA(2107, 4683, F2, 7, 15) (dual of [(4683, 7), 32674, 16]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2107, 32781, F2, 15) (dual of [32781, 32674, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2107, 32784, F2, 15) (dual of [32784, 32677, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(2106, 32768, F2, 15) (dual of [32768, 32662, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(291, 32768, F2, 13) (dual of [32768, 32677, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(21, 16, F2, 1) (dual of [16, 15, 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(14) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(2107, 32784, F2, 15) (dual of [32784, 32677, 16]-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.