Information on Result #1301008

Linear OA(4233, 65626, F4, 35) (dual of [65626, 65393, 36]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4231, 65622, F4, 35) (dual of [65622, 65391, 36]-code), using
    • construction X applied to C([0,17]) ⊂ C([0,12]) [i] based on
      1. linear OA(4209, 65537, F4, 35) (dual of [65537, 65328, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
      2. linear OA(4145, 65537, F4, 25) (dual of [65537, 65392, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
      3. linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-code), using
        • the BCH-code C(I) with length 85 | 44−1, defining interval I = {−20,−17,−14,…,4}, and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(4231, 65624, F4, 34) (dual of [65624, 65393, 35]-code), using Gilbert–VarÅ¡amov bound and bm = 4231 > Vbs−1(k−1) = 583101 722473 790511 372997 199565 109025 548944 222921 190917 278975 837241 191020 263479 099347 303542 878423 165547 580590 859226 442418 987216 929015 567628 [i]
  3. linear OA(40, 2, F4, 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.