Information on Result #673344
Linear OA(2235, 557, F2, 53) (dual of [557, 322, 54]-code), using construction X applied to Ce(52) ⊂ Ce(44) based on
- 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(2190, 512, F2, 45) (dual of [512, 322, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(218, 45, F2, 7) (dual of [45, 27, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(218, 48, F2, 7) (dual of [48, 30, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(26, 24, F2, 3) (dual of [24, 18, 4]-code or 24-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(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(2) [i]
- linear OA(26, 24, F2, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,2)), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(218, 48, F2, 7) (dual of [48, 30, 8]-code), 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.