MinT - Information on Result #1191676

Information on Result #1191676

Digital (83, 96, 1398107)-net over F₈, using net defined by OOA based on linear OOA(8⁹⁶, 1398107, F₈, 15, 13) (dual of [(1398107, 15), 20971509, 14]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(8⁹⁶, 2796215, F₈, 3, 13) (dual of [(2796215, 3), 8388549, 14]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(8⁷, 14, F₈, 3, 6) (dual of [(14, 3), 35, 7]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,35P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
      - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
  2. linear OOA(8⁸⁹, 2796201, F₈, 3, 13) (dual of [(2796201, 3), 8388514, 14]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(8⁸⁹, large, F₈, 13) (dual of [large, large−89, 14]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 8⁸âˆ’1, defining interval IÂ =Â [0,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 14 [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.