Information on Result #673156
Linear OA(2258, 1061, F2, 51) (dual of [1061, 803, 52]-code), using construction XX applied to Ce(50) ⊂ Ce(46) ⊂ Ce(44) based on
- linear OA(2246, 1024, F2, 51) (dual of [1024, 778, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(2226, 1024, F2, 47) (dual of [1024, 798, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(2216, 1024, F2, 45) (dual of [1024, 808, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(26, 31, F2, 3) (dual of [31, 25, 4]-code or 31-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- linear OA(21, 6, F2, 1) (dual of [6, 5, 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
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.