MinT - Information on Result #2844958

Information on Result #2844958

Linear OOA(2²¹³, 46, F₂, 5, 145) (dual of [(46, 5), 17, 146]-NRT-code), using strength reduction based on linear OOA(2²¹³, 46, F₂, 5, 148) (dual of [(46, 5), 17, 149]-NRT-code), using

constructionÂ X applied to AG(5;F,0P) âŠ‚ AG(5;F,55P) [i] based on
1. linear OOA(2¹⁵⁹, 32, F₂, 5, 159) (dual of [(32, 5), 1, 160]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁴³, 32, F₂, 5, 104) (dual of [(32, 5), 17, 105]-NRT-code), using algebraic-geometric NRT-code AG(5;F,55P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
3. linear OOA(2⁵⁴, 14, F₂, 5, 43) (dual of [(14, 5), 16, 44]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,26P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, 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.