Information on Result #613454

Linear OA(4170, 176, F4, 87) (dual of [176, 6, 88]-code), using construction X applied to C([0,76]) ⊂ C([1,76]) based on
  1. linear OA(4160, 165, F4, 87) (dual of [165, 5, 88]-code), using the expurgated narrow-sense BCH-code C(I) with length 165 | 410−1, defining interval I = [0,76], and minimum distance d ≥ |{−74,−60,−46,…,−25}|+1 = 88 (BCH-bound) [i]
  2. linear OA(4159, 165, F4, 76) (dual of [165, 6, 77]-code), using the narrow-sense BCH-code C(I) with length 165 | 410−1, defining interval I = [1,76], and designed minimum distance d ≥ |I|+1 = 77 [i]
  3. linear OA(410, 11, F4, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,4)), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.