Information on Result #1300545

Linear OA(4179, 264, F4, 82) (dual of [264, 85, 83]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4178, 262, F4, 82) (dual of [262, 84, 83]-code), using
    • construction X with VarÅ¡amov bound [i] based on
      1. linear OA(4172, 253, F4, 82) (dual of [253, 81, 83]-code), using
        • 4 times truncation [i] based on linear OA(4176, 257, F4, 86) (dual of [257, 81, 87]-code), using
          • the BCH-code C(I) with length 257 | 48−1, defining interval I = {1,4,7,…,256}, and designed minimum distance d ≥ |I|+1 = 87 [i]
      2. linear OA(4172, 256, F4, 78) (dual of [256, 84, 79]-code), using Gilbert–VarÅ¡amov bound and bm = 4172 > Vbs−1(k−1) = 23 644139 020492 791384 885003 089193 010534 682674 145458 136273 854225 779261 753904 414798 291476 029469 404664 010954 [i]
      3. linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
  2. linear OA(4178, 263, F4, 81) (dual of [263, 85, 82]-code), using Gilbert–VarÅ¡amov bound and bm = 4178 > Vbs−1(k−1) = 95629 046507 368396 128106 107500 589847 004767 599046 165163 336325 211122 516878 876319 226793 471139 335129 600426 084656 [i]
  3. linear OA(40, 1, F4, 0) (dual of [1, 1, 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.