MinT - Information on Result #1488696

Information on Result #1488696

Linear OOA(7¹⁰⁷, 51, F₇, 3, 67) (dual of [(51, 3), 46, 68]-NRT-code), using OOA 2-folding based on linear OOA(7¹⁰⁷, 102, F₇, 2, 67) (dual of [(102, 2), 97, 68]-NRT-code), using

constructionÂ X applied to AG(2;F,122P) âŠ‚ AG(2;F,130P) [i] based on
1. linear OOA(7¹⁰⁰, 95, F₇, 2, 67) (dual of [(95, 2), 90, 68]-NRT-code), using algebraic-geometric NRT-code AG(2;F,122P) [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(7⁹², 95, F₇, 2, 59) (dual of [(95, 2), 98, 60]-NRT-code), using algebraic-geometric NRT-code AG(2;F,130P) [i] based on function field F/F₇ with g(F) = 33 and N(F) ≥ 96 (see above)
3. linear OOA(7⁷, 7, F₇, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;7,7) [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.