Information on Result #640805
Linear OA(2212, 226, F2, 96) (dual of [226, 14, 97]-code), using juxtaposition based on
- linear OA(220, 34, F2, 8) (dual of [34, 14, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(220, 41, F2, 8) (dual of [41, 21, 9]-code), using
- 1 times truncation [i] based on linear OA(221, 42, F2, 9) (dual of [42, 21, 10]-code), using
- extended quadratic residue code Qe(42,2) [i]
- 1 times truncation [i] based on linear OA(221, 42, F2, 9) (dual of [42, 21, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(220, 41, F2, 8) (dual of [41, 21, 9]-code), using
- 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
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.