Information on Result #681305

Linear OA(4113, 274, F4, 36) (dual of [274, 161, 37]-code), using construction X applied to C([0,18]) ⊂ C([0,14]) based on
  1. linear OA(4105, 257, F4, 37) (dual of [257, 152, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
  2. linear OA(489, 257, F4, 29) (dual of [257, 168, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
  3. linear OA(48, 17, F4, 6) (dual of [17, 9, 7]-code), using
    • the BCH-code C(I) with length 17 | 44−1, defining interval I = {1,4,7,…,16}, and designed minimum distance d ≥ |I|+1 = 7 [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.