MinT - Information on Result #2838500

Information on Result #2838500

Linear OOA(2⁸⁷, 25, F₂, 5, 51) (dual of [(25, 5), 38, 52]-NRT-code), using strength reduction based on linear OOA(2⁸⁷, 25, F₂, 5, 52) (dual of [(25, 5), 38, 53]-NRT-code), using

constructionÂ X applied to AG(5;F,42P) âŠ‚ AG(5;F,57P) [i] based on
1. linear OOA(2⁷¹, 19, F₂, 5, 52) (dual of [(19, 5), 24, 53]-NRT-code), using algebraic-geometric NRT-code AG(5;F,42P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁵⁶, 19, F₂, 5, 37) (dual of [(19, 5), 39, 38]-NRT-code), using algebraic-geometric NRT-code AG(5;F,57P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20 (see above)
3. linear OOA(2¹⁶, 6, F₂, 5, 14) (dual of [(6, 5), 14, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,15P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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.