MinT - Information on Result #1188696

Information on Result #1188696

Digital (86, 98, 1398105)-net over F₅, using net defined by OOA based on linear OOA(5⁹⁸, 1398105, F₅, 15, 12) (dual of [(1398105, 15), 20971477, 13]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(5⁹⁸, 2796211, F₅, 3, 12) (dual of [(2796211, 3), 8388535, 13]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(5⁷, 10, F₅, 3, 6) (dual of [(10, 3), 23, 7]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₅ with g(F) = 1 and N(F) ≥ 10, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(5⁹¹, 2796201, F₅, 3, 12) (dual of [(2796201, 3), 8388512, 13]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(5⁹¹, large, F₅, 12) (dual of [large, large−91, 13]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 5¹⁰âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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.