Information on Result #1301204

Linear OA(4260, 65605, F4, 41) (dual of [65605, 65345, 42]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4257, 65601, F4, 41) (dual of [65601, 65344, 42]-code), using
    • construction X applied to C([0,20]) ⊂ C([0,16]) [i] based on
      1. linear OA(4241, 65537, F4, 41) (dual of [65537, 65296, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
      2. linear OA(4193, 65537, F4, 33) (dual of [65537, 65344, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
      3. linear OA(416, 64, F4, 7) (dual of [64, 48, 8]-code), using
        • an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  2. linear OA(4257, 65602, F4, 38) (dual of [65602, 65345, 39]-code), using Gilbert–VarÅ¡amov bound and bm = 4257 > Vbs−1(k−1) = 544 638530 026979 625254 010437 073021 020957 259235 678673 746597 176819 082196 406846 073111 833970 730405 871882 352035 117349 974261 159102 319082 112544 397352 286758 670732 [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.