Information on Result #613503

Linear OA(4223, 232, F4, 107) (dual of [232, 9, 108]-code), using construction X applied to C([0,92]) ⊂ C([1,92]) based on
  1. linear OA(4209, 217, F4, 107) (dual of [217, 8, 108]-code), using the expurgated narrow-sense BCH-code C(I) with length 217 | 415−1, defining interval I = [0,92], and minimum distance d ≥ |{−11,−8,−5,…,90}|+1 = 108 (BCH-bound) [i]
  2. linear OA(4208, 217, F4, 92) (dual of [217, 9, 93]-code), using the narrow-sense BCH-code C(I) with length 217 | 415−1, defining interval I = [1,92], and designed minimum distance d ≥ |I|+1 = 93 [i]
  3. linear OA(414, 15, F4, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,4)), 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.