Information on Result #1300747

Linear OA(4203, 65603, F4, 31) (dual of [65603, 65400, 32]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4201, 65600, F4, 31) (dual of [65600, 65399, 32]-code), using
    • construction X applied to Ce(30) ⊂ Ce(22) [i] based on
      1. linear OA(4185, 65536, F4, 31) (dual of [65536, 65351, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
      2. linear OA(4137, 65536, F4, 23) (dual of [65536, 65399, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(4201, 65601, F4, 29) (dual of [65601, 65400, 30]-code), using Gilbert–VarÅ¡amov bound and bm = 4201 > Vbs−1(k−1) = 55734 074328 395999 785483 321124 355947 830284 820222 852995 963124 400599 687323 916887 856080 877551 263342 749883 618851 164864 456253 [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.