MinT - Information on Result #1713080

Information on Result #1713080

Digital (117, 129, 2097156)-net over F₃, using net defined by OOA based on linear OOA(3¹²⁹, 2097156, F₃, 15, 12) (dual of [(2097156, 15), 31457211, 13]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3¹²⁹, 4194313, F₃, 3, 12) (dual of [(4194313, 3), 12582810, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹²⁹, 4194314, F₃, 3, 12) (dual of [(4194314, 3), 12582813, 13]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3¹²⁹, 4194314, F₃, 2, 12) (dual of [(4194314, 2), 8388499, 13]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(3⁹, 13, F₃, 2, 6) (dual of [(13, 2), 17, 7]-NRT-code), using
        extracting embedded OOA [i] based on digital (3, 9, 13)-net over F₃, using
        linear code embedding found in a computer search [i]
      2. linear OOA(3¹²⁰, 4194301, F₃, 2, 12) (dual of [(4194301, 2), 8388482, 13]-NRT-code), using
        OOA 2-folding [i] based on linear OA(3¹²⁰, 8388602, F₃, 12) (dual of [8388602, 8388482, 13]-code), using
        discarding factors / shortening the dual code based on linear OA(3¹²⁰, large, F₃, 12) (dual of [large, large−120, 13]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [i]

Mode: 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.