Information on Result #1299856

Linear OA(461, 4123, F4, 12) (dual of [4123, 4062, 13]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(458, 4117, F4, 12) (dual of [4117, 4059, 13]-code), using
    • construction X applied to Ce(12) ⊂ Ce(8) [i] based on
      1. linear OA(455, 4096, F4, 13) (dual of [4096, 4041, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
      2. linear OA(437, 4096, F4, 9) (dual of [4096, 4059, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
      3. linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
  2. linear OA(458, 4120, F4, 11) (dual of [4120, 4062, 12]-code), using Gilbert–VarÅ¡amov bound and bm = 458 > Vbs−1(k−1) = 22644 955042 311077 360894 514618 574462 [i]
  3. linear OA(40, 3, F4, 0) (dual of [3, 3, 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.