MinT - Information on Result #1713318

Information on Result #1713318

Digital (133, 147, 2097157)-net over F₃, using net defined by OOA based on linear OOA(3¹⁴⁷, 2097157, F₃, 20, 14) (dual of [(2097157, 20), 41942993, 15]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3¹⁴⁷, 4194315, F₃, 4, 14) (dual of [(4194315, 4), 16777113, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁴⁷, 4194316, F₃, 4, 14) (dual of [(4194316, 4), 16777117, 15]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3¹⁴⁷, 4194316, F₃, 2, 14) (dual of [(4194316, 2), 8388485, 15]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(3¹¹, 15, F₃, 2, 7) (dual of [(15, 2), 19, 8]-NRT-code), using
        extracting embedded OOA [i] based on digital (4, 11, 15)-net over F₃, using
        linear code embedding found in a computer search [i]
      2. linear OOA(3¹³⁶, 4194301, F₃, 2, 14) (dual of [(4194301, 2), 8388466, 15]-NRT-code), using
        OOA 2-folding [i] based on linear OA(3¹³⁶, 8388602, F₃, 14) (dual of [8388602, 8388466, 15]-code), using
        discarding factors / shortening the dual code based on linear OA(3¹³⁶, large, F₃, 14) (dual of [large, large−136, 15]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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.