Information on Result #1300169

Linear OA(4131, 262169, F4, 19) (dual of [262169, 262038, 20]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4128, 262165, F4, 19) (dual of [262165, 262037, 20]-code), using
    • construction X4 applied to C([0,9]) ⊂ C([0,8]) [i] based on
      1. linear OA(4127, 262145, F4, 19) (dual of [262145, 262018, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
      2. linear OA(4109, 262145, F4, 17) (dual of [262145, 262036, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
      3. linear OA(419, 20, F4, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,4)), using
      4. linear OA(41, 20, F4, 1) (dual of [20, 19, 2]-code), using
  2. linear OA(4128, 262166, F4, 16) (dual of [262166, 262038, 17]-code), using Gilbert–VarÅ¡amov bound and bm = 4128 > Vbs−1(k−1) = 20834 074823 010761 832378 304199 784070 889981 430436 510284 294310 457136 106500 896224 [i]
  3. linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), 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.