Information on Result #681329

Linear OA(464, 273, F4, 19) (dual of [273, 209, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,6]) based on
  1. linear OA(457, 257, F4, 19) (dual of [257, 200, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  2. linear OA(441, 257, F4, 13) (dual of [257, 216, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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.