Information on Result #1300949

Linear OA(4227, 65604, F4, 35) (dual of [65604, 65377, 36]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4225, 65601, F4, 35) (dual of [65601, 65376, 36]-code), using
    • construction X applied to C([0,17]) ⊂ C([0,13]) [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(4161, 65537, F4, 27) (dual of [65537, 65376, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(4225, 65602, F4, 33) (dual of [65602, 65377, 34]-code), using Gilbert–VarÅ¡amov bound and bm = 4225 > Vbs−1(k−1) = 96 745239 120551 830316 433304 491299 678492 205529 732144 597935 254568 711331 846549 934066 312595 876079 775462 384739 500374 847833 827874 328466 190522 [i]
  3. linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-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.