MinT - Information on Result #1213648

Information on Result #1213648

Digital (80, 95, 11186)-net over F₅, using (u,Â u+v)-construction based on

digital (3, 10, 25)-net over F₅, using
- linear code embedding found in a computer search [i]
digital (70, 85, 11161)-net over F₅, using
- net defined by OOA [i] based on linear OOA(5⁸⁵, 11161, F₅, 15, 15) (dual of [(11161, 15), 167330, 16]-NRT-code), using
  - OOA 7-folding and stacking with additional row [i] based on linear OA(5⁸⁵, 78128, F₅, 15) (dual of [78128, 78043, 16]-code), using
    - discarding factors / shortening the dual code based on linear OA(5⁸⁵, 78132, F₅, 15) (dual of [78132, 78047, 16]-code), using
      - 1 times truncation [i] based on linear OA(5⁸⁶, 78133, F₅, 16) (dual of [78133, 78047, 17]-code), using
        constructionÂ X applied to C_e(15) âŠ‚ C_e(13) [i] based on
        linear OA(5⁸⁵, 78125, F₅, 16) (dual of [78125, 78040, 17]-code), using an extension C_e(15) of the primitive narrow-sense BCH-code C(I) with length 78124Â = 5⁷âˆ’1, defining interval IÂ =Â [1,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [i]
        linear OA(5⁷⁸, 78125, F₅, 14) (dual of [78125, 78047, 15]-code), using an extension C_e(13) of the primitive narrow-sense BCH-code C(I) with length 78124Â = 5⁷âˆ’1, defining interval IÂ =Â [1,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 14 [i]
        linear OA(5¹, 8, F₅, 1) (dual of [8, 7, 2]-code), using
        discarding factors / shortening the dual code based on linear OA(5¹, s, F₅, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [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.