Information on Result #1297503

Linear OA(2221, 578, F2, 46) (dual of [578, 357, 47]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(2216, 571, F2, 46) (dual of [571, 355, 47]-code), using
    • construction XX applied to C1 = C([505,36]), C2 = C([0,40]), C3 = C1 + C2 = C([0,36]), and C∩ = C1 ∩ C2 = C([505,40]) [i] based on
      1. linear OA(2181, 511, F2, 43) (dual of [511, 330, 44]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−6,−5,…,36}, and designed minimum distance d ≥ |I|+1 = 44 [i]
      2. linear OA(2172, 511, F2, 41) (dual of [511, 339, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
      3. linear OA(2199, 511, F2, 47) (dual of [511, 312, 48]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−6,−5,…,40}, and designed minimum distance d ≥ |I|+1 = 48 [i]
      4. linear OA(2154, 511, F2, 37) (dual of [511, 357, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [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(2216, 573, F2, 43) (dual of [573, 357, 44]-code), using Gilbert–VarÅ¡amov bound and bm = 2216 > Vbs−1(k−1) = 10678 988452 451557 526475 423755 168752 147803 846944 450533 342665 507779 [i]
  3. linear OA(23, 5, F2, 2) (dual of [5, 2, 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.