Information on Result #948072
Linear OOA(288, 33, F2, 3, 40) (dual of [(33, 3), 11, 41]-NRT-code), using OOA 3-folding based on linear OA(288, 99, F2, 40) (dual of [99, 11, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(288, 101, F2, 40) (dual of [101, 13, 41]-code), using
- 3 times truncation [i] based on linear OA(291, 104, F2, 43) (dual of [104, 13, 44]-code), using
- residual code [i] based on linear OA(2178, 192, F2, 87) (dual of [192, 14, 88]-code), using
- concatenation of two codes [i] based on
- linear OA(457, 64, F4, 43) (dual of [64, 7, 44]-code), using
- an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(21, 3, F2, 1) (dual of [3, 2, 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
- linear OA(457, 64, F4, 43) (dual of [64, 7, 44]-code), using
- concatenation of two codes [i] based on
- residual code [i] based on linear OA(2178, 192, F2, 87) (dual of [192, 14, 88]-code), using
- 3 times truncation [i] based on linear OA(291, 104, F2, 43) (dual of [104, 13, 44]-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.