MinT - Information on Result #625680

Information on Result #625680

Linear OA(5⁴⁸, 54, F₅, 31) (dual of [54, 6, 32]-code), using repeating each code word 2 times based on linear OA(5²¹, 27, F₅, 15) (dual of [27, 6, 16]-code), using

discarding factors / shortening the dual code based on linear OA(5²¹, 28, F₅, 15) (dual of [28, 7, 16]-code), using
- 3 times truncation [i] based on linear OA(5²⁴, 31, F₅, 18) (dual of [31, 7, 19]-code), using
  - contraction [i] based on linear OA(5⁵⁵, 62, F₅, 37) (dual of [62, 7, 38]-code), using the BCH-code C(I) with length 62Â | 5³âˆ’1, defining interval IÂ =Â {−1,18,37,…,1}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 38 [i]

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.