Information on Result #640799
Linear OA(2214, 229, F2, 96) (dual of [229, 15, 97]-code), using juxtaposition based on
- linear OA(220, 35, F2, 8) (dual of [35, 15, 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(2179, 194, F2, 87) (dual of [194, 15, 88]-code), using
- discarding factors / shortening the dual code based on linear OA(2179, 195, F2, 87) (dual of [195, 16, 88]-code), using
- concatenation of two codes [i] based on
- linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [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, 65, F4, 43) (dual of [65, 8, 44]-code), using
- concatenation of two codes [i] based on
- discarding factors / shortening the dual code based on linear OA(2179, 195, F2, 87) (dual of [195, 16, 88]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.