MinT - Information on Result #1201414

Information on Result #1201414

Digital (39, 54, 37477)-net over F₆₄, using net defined by OOA based on linear OOA(64⁵⁴, 37477, F₆₄, 15, 15) (dual of [(37477, 15), 562101, 16]-NRT-code), using

OOA 7-folding and stacking with additional row [i] based on linear OA(64⁵⁴, 262340, F₆₄, 15) (dual of [262340, 262286, 16]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(64¹¹, 195, F₆₄, 7) (dual of [195, 184, 8]-code), using
    - the BCH-code C(I) with length 195Â | 64²âˆ’1, defining interval IÂ =Â {64,86,108,…,1}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 8 [i]
  2. linear OA(64⁴³, 262145, F₆₄, 15) (dual of [262145, 262102, 16]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 262145Â | 64⁶âˆ’1, defining interval IÂ =Â [0,7], and minimum distance dÂ â‰¥ |{−7,−6,…,7}|+1Â =Â 16 (BCH-bound) [i]

Mode: Constructive and linear.

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.