MinT - Information on Result #1488673

Information on Result #1488673

Linear OOA(7¹⁰⁸, 53, F₇, 3, 64) (dual of [(53, 3), 51, 65]-NRT-code), using OOA 2-folding based on linear OOA(7¹⁰⁸, 106, F₇, 2, 64) (dual of [(106, 2), 104, 65]-NRT-code), using

constructionÂ X applied to AG(2;F,125P) âŠ‚ AG(2;F,136P) [i] based on
1. linear OOA(7⁹⁷, 95, F₇, 2, 64) (dual of [(95, 2), 93, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,125P) [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(7⁸⁶, 95, F₇, 2, 53) (dual of [(95, 2), 104, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,136P) [i] based on function field F/F₇ with g(F) = 33 and N(F) ≥ 96 (see above)
3. linear OOA(7¹¹, 11, F₇, 2, 10) (dual of [(11, 2), 11, 11]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(7¹¹, 13, F₇, 2, 10) (dual of [(13, 2), 15, 11]-NRT-code), using
    - extracting embedded OOA [i] based on digital (1, 11, 13)-net over F₇, using
      - 2 times m-reduction [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.