Information on Result #1297463

Linear OA(2214, 582, F2, 44) (dual of [582, 368, 45]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(2207, 571, F2, 44) (dual of [571, 364, 45]-code), using
    • construction XX applied to C1 = C([505,34]), C2 = C([0,38]), C3 = C1 + C2 = C([0,34]), and C∩ = C1 ∩ C2 = C([505,38]) [i] based on
      1. linear OA(2172, 511, F2, 41) (dual of [511, 339, 42]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−6,−5,…,34}, and designed minimum distance d ≥ |I|+1 = 42 [i]
      2. linear OA(2163, 511, F2, 39) (dual of [511, 348, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [i]
      3. linear OA(2190, 511, F2, 45) (dual of [511, 321, 46]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−6,−5,…,38}, and designed minimum distance d ≥ |I|+1 = 46 [i]
      4. linear OA(2145, 511, F2, 35) (dual of [511, 366, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [i]
      5. linear OA(211, 36, F2, 4) (dual of [36, 25, 5]-code), using
      6. linear OA(26, 24, F2, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,2)), using
  2. linear OA(2207, 575, F2, 41) (dual of [575, 368, 42]-code), using Gilbert–VarÅ¡amov bound and bm = 2207 > Vbs−1(k−1) = 74 872811 657109 612809 325541 586323 960203 287182 512334 365218 041511 [i]
  3. linear OA(23, 7, F2, 2) (dual of [7, 4, 3]-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.