MinT - Information on Result #1844047

Information on Result #1844047

(35, 46, 1710489)-net in base 128, using (u,Â u+v)-construction based on

(5, 10, 32769)-net in base 128, using
- net defined by OOA [i] based on OOA(128¹⁰, 32769, S₁₂₈, 5, 5), using
  - appending kth column [i] based on OOA(128¹⁰, 32769, S₁₂₈, 4, 5), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(128², 129, F₁₂₈, 4, 2) (dual of [(129, 4), 514, 3]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(4;514,128) [i]
      2. OOA(128⁸, 32640, S₁₂₈, 4, 5), using
        OOA 2-folding and stacking with additional row [i] based on OA(128⁸, 65281, S₁₂₈, 5), using
        discarding parts of the base [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]
(25, 36, 1677720)-net in base 128, using
- net defined by OOA [i] based on OOA(128³⁶, 1677720, S₁₂₈, 11, 11), using
  - OOA 5-folding and stacking with additional row [i] based on OA(128³⁶, 8388601, S₁₂₈, 11), using
    - discarding factors based on OA(128³⁶, large, S₁₂₈, 11), using
      - discarding parts of the base [i] based on linear OA(256³¹, large, F₂₅₆, 11) (dual of [large, large−31, 12]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [i]

Mode: Constructive.

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.