MinT - Information on Result #1488653

Information on Result #1488653

Linear OOA(7¹⁰⁸, 54, F₇, 3, 62) (dual of [(54, 3), 54, 63]-NRT-code), using OOA 2-folding based on linear OOA(7¹⁰⁸, 108, F₇, 2, 62) (dual of [(108, 2), 108, 63]-NRT-code), using

constructionÂ X applied to AG(2;F,127P) âŠ‚ AG(2;F,140P) [i] based on
1. linear OOA(7⁹⁵, 95, F₇, 2, 62) (dual of [(95, 2), 95, 63]-NRT-code), using algebraic-geometric NRT-code AG(2;F,127P) [i] based on function field F/F₇ with g(F) = 33 and N(F) ≥ 96, using
  - an algebraic function field by Teo [i]
2. linear OOA(7⁸², 95, F₇, 2, 49) (dual of [(95, 2), 108, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,140P) [i] based on function field F/F₇ with g(F) = 33 and N(F) ≥ 96 (see above)
3. linear OOA(7¹³, 13, F₇, 2, 12) (dual of [(13, 2), 13, 13]-NRT-code), using
  - extracting embedded OOA [i] based on digital (1, 13, 13)-net over F₇, using
    - a shift-net [i]

Mode: Linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.