Information on Result #611504
Linear OA(2216, 228, F2, 81) (dual of [228, 12, 82]-code), using construction X applied to C([0,72]) ⊂ C([1,72]) based on
- linear OA(2208, 219, F2, 81) (dual of [219, 11, 82]-code), using the expurgated narrow-sense BCH-code C(I) with length 219 | 218−1, defining interval I = [0,72], and minimum distance d ≥ |{−8,−7,…,72}|+1 = 82 (BCH-bound) [i]
- linear OA(2207, 219, F2, 72) (dual of [219, 12, 73]-code), using the narrow-sense BCH-code C(I) with length 219 | 218−1, defining interval I = [1,72], and designed minimum distance d ≥ |I|+1 = 73 [i]
- linear OA(28, 9, F2, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,2)), using
- dual of repetition code with length 9 [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.