Information on Result #1303811

Linear OA(16122, 267, F16, 71) (dual of [267, 145, 72]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(16118, 262, F16, 71) (dual of [262, 144, 72]-code), using
    • construction X applied to C([0,35]) ⊂ C([0,34]) [i] based on
      1. linear OA(16117, 257, F16, 71) (dual of [257, 140, 72]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,35], and minimum distance d ≥ |{−35,−34,…,35}|+1 = 72 (BCH-bound) [i]
      2. linear OA(16113, 257, F16, 69) (dual of [257, 144, 70]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,34], and minimum distance d ≥ |{−34,−33,…,34}|+1 = 70 (BCH-bound) [i]
      3. linear OA(161, 5, F16, 1) (dual of [5, 4, 2]-code), using
  2. linear OA(16118, 263, F16, 67) (dual of [263, 145, 68]-code), using Gilbert–VarÅ¡amov bound and bm = 16118 > Vbs−1(k−1) = 405 735422 241245 366067 750082 571328 590888 039335 208877 883313 794543 088196 130046 573350 849429 247591 166553 589052 482769 591134 265194 028709 282095 845656 [i]
  3. linear OA(163, 4, F16, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,16) or 4-cap in PG(2,16)), 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.