Information on Result #689651

Linear OA(989, 6587, F9, 23) (dual of [6587, 6498, 24]-code), using construction XX applied to C([0,11]) ⊂ C([0,9]) ⊂ C([0,7]) based on
  1. linear OA(981, 6562, F9, 23) (dual of [6562, 6481, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
  2. linear OA(965, 6562, F9, 19) (dual of [6562, 6497, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  3. linear OA(957, 6562, F9, 15) (dual of [6562, 6505, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
  4. linear OA(94, 21, F9, 3) (dual of [21, 17, 4]-code or 21-cap in PG(3,9)), using
  5. linear OA(93, 4, F9, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,9) or 4-cap in PG(2,9)), 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.