MinT - Information on Result #3250616

Information on Result #3250616

Digital (221, 239, 932125)-net over F₂, using 2¹ times duplication based on digital (220, 238, 932125)-net over F₂, using

(u,Â u+v)-construction [i] based on
1. digital (22, 31, 58)-net over F₂, using
  - net defined by OOA [i] based on linear OOA(2³¹, 58, F₂, 9, 9) (dual of [(58, 9), 491, 10]-NRT-code), using
    - appending kth column [i] based on linear OOA(2³¹, 58, F₂, 8, 9) (dual of [(58, 8), 433, 10]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(2¹⁰, 32, F₂, 8, 4) (dual of [(32, 8), 246, 5]-NRT-code), using
        appending 4 arbitrary columns [i] based on linear OOA(2¹⁰, 32, F₂, 4, 4) (dual of [(32, 4), 118, 5]-NRT-code), using
        appending kth column [i] based on linear OOA(2¹⁰, 32, F₂, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
        extracting embedded OOA [i] based on digital (6, 10, 32)-net over F₂, using
        linear code embedding found in a computer search [i]
        linear OOA(2²¹, 29, F₂, 8, 9) (dual of [(29, 8), 211, 10]-NRT-code), using
        extracting embedded OOA [i] based on digital (12, 21, 29)-net over F₂, using
        linear code embedding found in a computer search [i]
2. digital (189, 207, 932067)-net over F₂, using
  - net defined by OOA [i] based on linear OOA(2²⁰⁷, 932067, F₂, 18, 18) (dual of [(932067, 18), 16776999, 19]-NRT-code), using
    - OA 9-folding and stacking [i] based on linear OA(2²⁰⁷, large, F₂, 18) (dual of [large, large−207, 19]-code), using
      - the primitive narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [1,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [i]

Mode: Constructive and 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.