MinT - Information on Result #3279977

Information on Result #3279977

(71, 98, 20165)-net in base 32, using 32² times duplication based on (69, 96, 20165)-net in base 32, using

base change [i] based on digital (53, 80, 20165)-net over F₆₄, using
- 64¹ times duplication [i] based on digital (52, 79, 20165)-net over F₆₄, using
  - net defined by OOA [i] based on linear OOA(64⁷⁹, 20165, F₆₄, 27, 27) (dual of [(20165, 27), 544376, 28]-NRT-code), using
    - OOA 13-folding and stacking with additional row [i] based on linear OA(64⁷⁹, 262146, F₆₄, 27) (dual of [262146, 262067, 28]-code), using
      - discarding factors / shortening the dual code based on linear OA(64⁷⁹, 262147, F₆₄, 27) (dual of [262147, 262068, 28]-code), using
        constructionÂ X applied to C_e(26) âŠ‚ C_e(25) [i] based on
        linear OA(64⁷⁹, 262144, F₆₄, 27) (dual of [262144, 262065, 28]-code), using an extension C_e(26) of the primitive narrow-sense BCH-code C(I) with length 262143Â = 64³âˆ’1, defining interval IÂ =Â [1,26], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 27 [i]
        linear OA(64⁷⁶, 262144, F₆₄, 26) (dual of [262144, 262068, 27]-code), using an extension C_e(25) of the primitive narrow-sense BCH-code C(I) with length 262143Â = 64³âˆ’1, defining interval IÂ =Â [1,25], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 26 [i]
        linear OA(64⁰, 3, F₆₄, 0) (dual of [3, 3, 1]-code), using
        discarding factors / shortening the dual code based on linear OA(64⁰, s, F₆₄, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
        OA with only one run / dual of code without redundancy [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.