Information on Result #611507
Linear OA(2182, 192, F2, 83) (dual of [192, 10, 84]-code), using construction X applied to C([0,80]) ⊂ C([1,80]) based on
- linear OA(2180, 189, F2, 83) (dual of [189, 9, 84]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 218−1, defining interval I = [0,80], and minimum distance d ≥ |{−2,−1,…,80}|+1 = 84 (BCH-bound) [i]
- linear OA(2179, 189, F2, 80) (dual of [189, 10, 81]-code), using the narrow-sense BCH-code C(I) with length 189 | 218−1, defining interval I = [1,80], and designed minimum distance d ≥ |I|+1 = 81 [i]
- linear OA(22, 3, F2, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,2)), using
- dual of repetition code with length 3 [i]
- Hamming code H(2,2) [i]
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.