MinT - Information on Result #3274456

Information on Result #3274456

(79, 107, 18726)-net in base 32, using 1 times m-reduction based on (79, 108, 18726)-net in base 32, using

base change [i] based on digital (61, 90, 18726)-net over F₆₄, using
- net defined by OOA [i] based on linear OOA(64⁹⁰, 18726, F₆₄, 29, 29) (dual of [(18726, 29), 542964, 30]-NRT-code), using
  - OOA 14-folding and stacking with additional row [i] based on linear OA(64⁹⁰, 262165, F₆₄, 29) (dual of [262165, 262075, 30]-code), using
    - discarding factors / shortening the dual code based on linear OA(64⁹⁰, 262168, F₆₄, 29) (dual of [262168, 262078, 30]-code), using
      - constructionÂ X applied to C([0,14]) âŠ‚ C([0,11]) [i] based on
        linear OA(64⁸⁵, 262145, F₆₄, 29) (dual of [262145, 262060, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145Â | 64⁶âˆ’1, defining interval IÂ =Â [0,14], and minimum distance dÂ â‰¥ |{−14,−13,…,14}|+1Â =Â 30 (BCH-bound) [i]
        linear OA(64⁶⁷, 262145, F₆₄, 23) (dual of [262145, 262078, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145Â | 64⁶âˆ’1, defining interval IÂ =Â [0,11], and minimum distance dÂ â‰¥ |{−11,−10,…,11}|+1Â =Â 24 (BCH-bound) [i]
        linear OA(64⁵, 23, F₆₄, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,64)), using
        discarding factors / shortening the dual code based on linear OA(64⁵, 64, F₆₄, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
        Reedâ€“Solomon code RS(59,64) [i]

Mode: Constructive.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.