Information on Result #611211
Linear OA(299, 180, F2, 25) (dual of [180, 81, 26]-code), using construction X applied to C([0,12]) ⊂ C([1,12]) based on
- linear OA(291, 171, F2, 25) (dual of [171, 80, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 218−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(290, 171, F2, 16) (dual of [171, 81, 17]-code), using the narrow-sense BCH-code C(I) with length 171 | 218−1, defining interval I = [1,12], and minimum distance d ≥ |{1,2,…,11}| + |{0,79,158,…,−12}∖{66,−26,53,−39,40,−52,27,−65,14,−78}| = 17 (general Roos-bound) [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.