Information on Result #611431
Linear OA(2199, 280, F2, 49) (dual of [280, 81, 50]-code), using construction X applied to C([0,24]) ⊂ C([1,24]) based on
- linear OA(2177, 257, F2, 49) (dual of [257, 80, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(2176, 257, F2, 26) (dual of [257, 81, 27]-code), using the narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [1,24], and minimum distance d ≥ |{1,2,…,24}| + |{0,116,232}| = 27 (simple Roos-bound) [i]
- linear OA(222, 23, F2, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,2)), using
- dual of repetition code with length 23 [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.
Other Results with Identical Parameters
None.
Depending Results
None.