MinT - Information on Result #2448269

Information on Result #2448269

Linear OOA(5¹³⁹, 87, F₅, 2, 90) (dual of [(87, 2), 35, 91]-NRT-code), using strength reduction based on linear OOA(5¹³⁹, 87, F₅, 2, 91) (dual of [(87, 2), 35, 92]-NRT-code), using

constructionÂ X applied to AG(2;F,50P) âŠ‚ AG(2;F,65P) [i] based on
1. linear OOA(5¹²², 71, F₅, 2, 91) (dual of [(71, 2), 20, 92]-NRT-code), using algebraic-geometric NRT-code AG(2;F,50P) [i] based on function field F/F₅ with g(F) = 31 and N(F) ≥ 72, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(5¹⁰⁷, 71, F₅, 2, 76) (dual of [(71, 2), 35, 77]-NRT-code), using algebraic-geometric NRT-code AG(2;F,65P) [i] based on function field F/F₅ with g(F) = 31 and N(F) ≥ 72 (see above)
3. linear OOA(5¹⁷, 16, F₅, 2, 14) (dual of [(16, 2), 15, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,17P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16, using
    - an explicitly constructive algebraic function field [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.