Information on Result #681317

Linear OA(488, 273, F4, 27) (dual of [273, 185, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,10]) based on
  1. linear OA(481, 257, F4, 27) (dual of [257, 176, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
  2. linear OA(465, 257, F4, 21) (dual of [257, 192, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
  3. linear OA(47, 16, F4, 5) (dual of [16, 9, 6]-code), using
    • an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 15 = 42−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]

Mode: Constructive and 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.