MinT - Information on Result #2514885

Information on Result #2514885

Linear OOA(9¹⁴⁴, 114, F₉, 2, 81) (dual of [(114, 2), 84, 82]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(9¹⁴², 113, F₉, 2, 81) (dual of [(113, 2), 84, 82]-NRT-code), using

constructionÂ X applied to AG(2;F,64P) âŠ‚ AG(2;F,101P) [i] based on
1. linear OOA(9⁹⁸, 73, F₉, 2, 81) (dual of [(73, 2), 48, 82]-NRT-code), using algebraic-geometric NRT-code AG(2;F,64P) [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(9⁶¹, 73, F₉, 2, 44) (dual of [(73, 2), 85, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,101P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74 (see above)
3. linear OOA(9⁴⁴, 40, F₉, 2, 36) (dual of [(40, 2), 36, 37]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,43P) [i] based on function field F/F₉ with g(F) = 8 and N(F) ≥ 40, using
    - a function field by SÃ©mirat [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.