Information on Result #610873
Linear OA(233, 32772, F2, 5) (dual of [32772, 32739, 6]-code), using construction X applied to C([0,2]) ⊂ C([1,2]) based on
- linear OA(231, 32769, F2, 5) (dual of [32769, 32738, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(230, 32769, F2, 2) (dual of [32769, 32739, 3]-code), using the narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [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.
Other Results with Identical Parameters
None.
Depending Results
None.