MinT - Information on Result #2872344

Information on Result #2872344

Linear OOA(2²⁴², 53, F₂, 5, 159) (dual of [(53, 5), 23, 160]-NRT-code), using 2¹ times duplication based on linear OOA(2²⁴¹, 53, F₂, 5, 159) (dual of [(53, 5), 24, 160]-NRT-code), using

constructionÂ X applied to AG(5;F,0P) âŠ‚ AG(5;F,62P) [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(2¹³⁶, 32, F₂, 5, 97) (dual of [(32, 5), 24, 98]-NRT-code), using algebraic-geometric NRT-code AG(5;F,62P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
3. linear OOA(2⁸², 21, F₂, 5, 61) (dual of [(21, 5), 23, 62]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,43P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, 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.