MinT - Information on Result #2452052

Information on Result #2452052

Linear OOA(9¹²¹, 89, F₉, 2, 87) (dual of [(89, 2), 57, 88]-NRT-code), using strength reduction based on linear OOA(9¹²¹, 89, F₉, 2, 88) (dual of [(89, 2), 57, 89]-NRT-code), using

constructionÂ X applied to AG(2;F,57P) âŠ‚ AG(2;F,73P) [i] based on
1. linear OOA(9¹⁰⁵, 73, F₉, 2, 88) (dual of [(73, 2), 41, 89]-NRT-code), using algebraic-geometric NRT-code AG(2;F,57P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
  - a function field by GarcÃa and Quoos [i]
2. linear OOA(9⁸⁹, 73, F₉, 2, 72) (dual of [(73, 2), 57, 73]-NRT-code), using algebraic-geometric NRT-code AG(2;F,73P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74 (see above)
3. linear OOA(9¹⁶, 16, F₉, 2, 15) (dual of [(16, 2), 16, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,16P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
    - a function field by GarcÃa and Quoos [i]

Mode: Constructive and 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.