MinT - Information on Result #1188432

Information on Result #1188432

Digital (69, 78, 2097172)-net over F₅, using net defined by OOA based on linear OOA(5⁷⁸, 2097172, F₅, 10, 9) (dual of [(2097172, 10), 20971642, 10]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(5⁷⁸, 4194345, F₅, 2, 9) (dual of [(4194345, 2), 8388612, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(5⁷, 44, F₅, 2, 4) (dual of [(44, 2), 81, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (3, 7, 44)-net over F₅, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(5⁷¹, 4194301, F₅, 2, 9) (dual of [(4194301, 2), 8388531, 10]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(5⁷¹, 8388602, F₅, 9) (dual of [8388602, 8388531, 10]-code), using
      - discarding factors / shortening the dual code based on linear OA(5⁷¹, large, F₅, 9) (dual of [large, large−71, 10]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 5¹⁰âˆ’1, defining interval IÂ =Â [0,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [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.