Information on Result #673450

Linear OA(2177, 548, F2, 39) (dual of [548, 371, 40]-code), using construction XX applied to Ce(38) ⊂ Ce(34) ⊂ Ce(30) based on
  1. linear OA(2163, 512, F2, 39) (dual of [512, 349, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
  2. linear OA(2145, 512, F2, 35) (dual of [512, 367, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  3. linear OA(2136, 512, F2, 31) (dual of [512, 376, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  4. linear OA(26, 28, F2, 3) (dual of [28, 22, 4]-code or 28-cap in PG(5,2)), using
  5. linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), 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.