Information on Result #690083

Linear OA(991, 749, F9, 31) (dual of [749, 658, 32]-code), using construction XX applied to C([0,15]) ⊂ C([0,13]) ⊂ C([0,12]) based on
  1. linear OA(985, 730, F9, 31) (dual of [730, 645, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
  2. linear OA(973, 730, F9, 27) (dual of [730, 657, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
  3. linear OA(967, 730, F9, 25) (dual of [730, 663, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  4. linear OA(94, 17, F9, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,9)), using
  5. linear OA(91, 2, F9, 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.