MinT - Information on Result #2448270

Information on Result #2448270

Linear OOA(5¹³⁹, 103, F₅, 2, 70) (dual of [(103, 2), 67, 71]-NRT-code), using strength reduction based on linear OOA(5¹³⁹, 103, F₅, 2, 71) (dual of [(103, 2), 67, 72]-NRT-code), using

constructionÂ X applied to AG(2;F,70P) âŠ‚ AG(2;F,97P) [i] based on
1. linear OOA(5¹⁰², 71, F₅, 2, 71) (dual of [(71, 2), 40, 72]-NRT-code), using algebraic-geometric NRT-code AG(2;F,70P) [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(5⁷⁵, 71, F₅, 2, 44) (dual of [(71, 2), 67, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,97P) [i] based on function field F/F₅ with g(F) = 31 and N(F) ≥ 72 (see above)
3. linear OOA(5³⁷, 32, F₅, 2, 26) (dual of [(32, 2), 27, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,37P) [i] based on function field F/F₅ with g(F) = 11 and N(F) ≥ 32, 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.