MinT - Information on Result #1213333

Information on Result #1213333

Digital (117, 127, 3355482)-net over F₅, using (u,Â u+v)-construction based on

digital (35, 40, 4194301)-net over F₅, using
- net defined by OOA [i] based on linear OOA(5⁴⁰, 4194301, F₅, 5, 5) (dual of [(4194301, 5), 20971465, 6]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OA(5⁴⁰, large, F₅, 5) (dual of [large, large−40, 6]-code), using
    - the primitive narrow-sense BCH-code C(I) with length 9765624Â = 5¹⁰âˆ’1, defining interval IÂ =Â [1,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 6 [i]
digital (77, 87, 1677741)-net over F₅, using
- (u,Â u+v)-construction [i] based on
  1. digital (2, 7, 21)-net over F₅, using
    - linear code embedding found in a computer search [i]
  2. digital (70, 80, 1677720)-net over F₅, using
    - net defined by OOA [i] based on linear OOA(5⁸⁰, 1677720, F₅, 10, 10) (dual of [(1677720, 10), 16777120, 11]-NRT-code), using
      - OA 5-folding and stacking [i] based on linear OA(5⁸⁰, 8388600, F₅, 10) (dual of [8388600, 8388520, 11]-code), using
        discarding factors / shortening the dual code based on linear OA(5⁸⁰, large, F₅, 10) (dual of [large, large−80, 11]-code), using
        the primitive narrow-sense BCH-code C(I) with length 9765624Â = 5¹⁰âˆ’1, defining interval IÂ =Â [1,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]

Mode: Constructive and linear.

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