Information on Result #611438
Linear OA(2104, 112, F2, 51) (dual of [112, 8, 52]-code), using construction X applied to C([0,44]) ⊂ C([1,44]) based on
- linear OA(298, 105, F2, 51) (dual of [105, 7, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 105 | 212−1, defining interval I = [0,44], and minimum distance d ≥ |{−6,−5,…,44}|+1 = 52 (BCH-bound) [i]
- linear OA(297, 105, F2, 44) (dual of [105, 8, 45]-code), using the narrow-sense BCH-code C(I) with length 105 | 212−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(26, 7, F2, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,2)), using
- dual of repetition code with length 7 [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.