Information on Result #681299

Linear OA(4117, 274, F4, 39) (dual of [274, 157, 40]-code), using construction X applied to C([0,20]) ⊂ C([0,17]) based on
  1. linear OA(4113, 257, F4, 41) (dual of [257, 144, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
  2. linear OA(497, 257, F4, 35) (dual of [257, 160, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
  3. linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using

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.