Information on Result #673919
Linear OA(2199, 270, F2, 62) (dual of [270, 71, 63]-code), using construction XX applied to C([0,60]) ⊂ C([0,58]) ⊂ C([0,54]) based on
- linear OA(2193, 255, F2, 62) (dual of [255, 62, 63]-code), using the expurgated primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,60], and minimum distance d ≥ 63 (sporadic result) [i]
- linear OA(2185, 255, F2, 60) (dual of [255, 70, 61]-code), using the expurgated primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,58], and minimum distance d ≥ 61 (sporadic result) [i]
- linear OA(2177, 255, F2, 55) (dual of [255, 78, 56]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [0,54], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(21, 10, F2, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(24, 5, F2, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,2)), using
- dual of repetition code with length 5 [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.