Information on Result #629455
Linear OA(2210, 228, F2, 87) (dual of [228, 18, 88]-code), using concatenation of two codes based on
- linear OA(467, 76, F4, 43) (dual of [76, 9, 44]-code), using
- construction X applied to C([0,21]) ⊂ C([1,21]) [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(456, 65, F4, 32) (dual of [65, 9, 33]-code), using the narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [1,21], and minimum distance d ≥ |{−16,6,28,…,16}|+1 = 33 (BCH-bound) [i]
- linear OA(410, 11, F4, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,4)), using
- dual of repetition code with length 11 [i]
- construction X applied to C([0,21]) ⊂ C([1,21]) [i] based on
- 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
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.