MinT - Information on Result #1147405

Information on Result #1147405

Linear OOA(2²⁶⁰, 64, F₂, 6, 122) (dual of [(64, 6), 124, 123]-NRT-code), using constructionÂ X applied to AG(6;F,123P) âŠ‚ AG(6;F,178P) based on

linear OOA(2¹⁷⁶, 41, F₂, 6, 122) (dual of [(41, 6), 70, 123]-NRT-code), using algebraic-geometric NRT-code AG(6;F,123P) [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(2¹²¹, 41, F₂, 6, 67) (dual of [(41, 6), 125, 68]-NRT-code), using algebraic-geometric NRT-code AG(6;F,178P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
linear OOA(2⁸⁴, 23, F₂, 6, 54) (dual of [(23, 6), 54, 55]-NRT-code), using
- constructionÂ X applied to AG(6;F,65P) âŠ‚ AG(6;F,75P) [i] based on
  1. linear OOA(2⁷⁵, 20, F₂, 6, 54) (dual of [(20, 6), 45, 55]-NRT-code), using algebraic-geometric NRT-code AG(6;F,65P) [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(2⁶⁵, 20, F₂, 6, 44) (dual of [(20, 6), 55, 45]-NRT-code), using algebraic-geometric NRT-code AG(6;F,75P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21 (see above)
  3. linear OOA(2⁹, 3, F₂, 6, 9) (dual of [(3, 6), 9, 10]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(6;9,2) [i]

Mode: Constructive and linear.

None.

None.