MinT - Information on Result #1122185

Information on Result #1122185

Linear OOA(2²⁴², 55, F₂, 5, 144) (dual of [(55, 5), 33, 145]-NRT-code), using constructionÂ X applied to AG(5;F,0P) âŠ‚ AG(5;F,71P) based on

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]
linear OOA(2¹²⁷, 32, F₂, 5, 88) (dual of [(32, 5), 33, 89]-NRT-code), using algebraic-geometric NRT-code AG(5;F,71P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
linear OOA(2⁸³, 23, F₂, 5, 55) (dual of [(23, 5), 32, 56]-NRT-code), using
- constructionÂ X applied to AG(5;F,44P) âŠ‚ AG(5;F,52P) [i] based on
  1. linear OOA(2⁷⁶, 20, F₂, 5, 55) (dual of [(20, 5), 24, 56]-NRT-code), using algebraic-geometric NRT-code AG(5;F,44P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁶⁸, 20, F₂, 5, 47) (dual of [(20, 5), 32, 48]-NRT-code), using algebraic-geometric NRT-code AG(5;F,52P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21 (see above)
  3. linear OOA(2⁷, 3, F₂, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(5;8,2) [i]

Mode: Constructive and linear.

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