MinT - Information on Result #1713308

Information on Result #1713308

Digital (128, 142, 1450123)-net over F₃, using net defined by OOA based on linear OOA(3¹⁴², 1450123, F₃, 20, 14) (dual of [(1450123, 20), 29002318, 15]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3¹⁴², 2900247, F₃, 4, 14) (dual of [(2900247, 4), 11600846, 15]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3¹⁴², 2900247, F₃, 2, 14) (dual of [(2900247, 2), 5800352, 15]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹⁴², 4194304, F₃, 2, 14) (dual of [(4194304, 2), 8388466, 15]-NRT-code), using
    - 3 times NRT-code embedding in larger space [i] based on 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.