Information on Result #617577

Linear OA(2750, 740, F27, 21) (dual of [740, 690, 22]-code), using construction X applied to C([0,10]) ⊂ C([1,10]) based on
  1. linear OA(2741, 730, F27, 21) (dual of [730, 689, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
  2. linear OA(2740, 730, F27, 11) (dual of [730, 690, 12]-code), using the narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [1,10], and minimum distance d ≥ |{1,2,…,10}| + |{−11,0}| = 12 (simple Roos-bound) [i]
  3. linear OA(279, 10, F27, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,27)), 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.