Information on Result #687931

Linear OA(863, 534, F8, 21) (dual of [534, 471, 22]-code), using construction XX applied to C([0,10]) ⊂ C([0,8]) ⊂ C([0,6]) based on
  1. linear OA(855, 513, F8, 21) (dual of [513, 458, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
  2. linear OA(843, 513, F8, 17) (dual of [513, 470, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  3. linear OA(837, 513, F8, 13) (dual of [513, 476, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
  4. linear OA(84, 17, F8, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,8)), using
  5. linear OA(83, 4, F8, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,8) or 4-cap in PG(2,8)), 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.