MinT - Information on Result #1123407

Information on Result #1123407

Linear OOA(2²²⁷, 64, F₂, 5, 102) (dual of [(64, 5), 93, 103]-NRT-code), using constructionÂ X applied to AG(5;F,102P) âŠ‚ AG(5;F,146P) based on

linear OOA(2¹⁵⁶, 41, F₂, 5, 102) (dual of [(41, 5), 49, 103]-NRT-code), using algebraic-geometric NRT-code AG(5;F,102P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
- an explicitly constructive algebraic function field [i]
linear OOA(2¹¹², 41, F₂, 5, 58) (dual of [(41, 5), 93, 59]-NRT-code), using algebraic-geometric NRT-code AG(5;F,146P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
linear OOA(2⁷¹, 23, F₂, 5, 43) (dual of [(23, 5), 44, 44]-NRT-code), using
- constructionÂ X applied to AG(5;F,56P) âŠ‚ AG(5;F,64P) [i] based on
  1. linear OOA(2⁶⁴, 20, F₂, 5, 43) (dual of [(20, 5), 36, 44]-NRT-code), using algebraic-geometric NRT-code AG(5;F,56P) [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(2⁵⁶, 20, F₂, 5, 35) (dual of [(20, 5), 44, 36]-NRT-code), using algebraic-geometric NRT-code AG(5;F,64P) [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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