Information on Result #1297667

Linear OA(2243, 576, F2, 52) (dual of [576, 333, 53]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(2241, 572, F2, 52) (dual of [572, 331, 53]-code), using
    • 1 times truncation [i] based on linear OA(2242, 573, F2, 53) (dual of [573, 331, 54]-code), using
      • construction X applied to Ce(52) ⊂ Ce(42) [i] based on
        1. 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]
        2. linear OA(2181, 512, F2, 43) (dual of [512, 331, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
        3. linear OA(225, 61, F2, 9) (dual of [61, 36, 10]-code), using
  2. linear OA(2241, 574, F2, 51) (dual of [574, 333, 52]-code), using Gilbert–VarÅ¡amov bound and bm = 2241 > Vbs−1(k−1) = 3 248511 688766 471331 757416 237750 003455 080102 090616 493385 955092 653845 082460 [i]
  3. linear OA(20, 2, F2, 0) (dual of [2, 2, 1]-code), using

Mode: 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.