Information on Result #673399
Linear OA(2240, 529, F2, 57) (dual of [529, 289, 58]-code), using construction XX applied to Ce(56) ⊂ Ce(54) ⊂ Ce(52) based on
- linear OA(2235, 512, F2, 57) (dual of [512, 277, 58]-code), using an extension Ce(56) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(2226, 512, F2, 55) (dual of [512, 286, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(2217, 512, F2, 53) (dual of [512, 295, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(21, 13, F2, 1) (dual of [13, 12, 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(21, 4, F2, 1) (dual of [4, 3, 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 (see above)
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.