Information on Result #681369

Linear OA(4105, 276, F4, 33) (dual of [276, 171, 34]-code), using construction XX applied to C([0,17]) ⊂ C([0,14]) ⊂ C([0,13]) based on
  1. 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]
  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(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]
  4. linear OA(44, 15, F4, 3) (dual of [15, 11, 4]-code or 15-cap in PG(3,4)), using
  5. linear OA(41, 4, F4, 1) (dual of [4, 3, 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.