Information on Result #681358

Linear OA(4119, 272, F4, 41) (dual of [272, 153, 42]-code), using construction XX applied to C([0,20]) ⊂ C([0,18]) ⊂ 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(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]
  3. 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]
  4. linear OA(44, 13, F4, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,4)), using
  5. linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), 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.