MinT - Information on Result #1093654

Information on Result #1093654

Linear OOA(3²¹⁹, 81, F₃, 4, 100) (dual of [(81, 4), 105, 101]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁴⁸, 27, F₃, 4, 33) (dual of [(27, 4), 60, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴⁸, 28, F₃, 4, 33) (dual of [(28, 4), 64, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,78P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3⁶⁵, 27, F₃, 4, 50) (dual of [(27, 4), 43, 51]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶⁵, 28, F₃, 4, 50) (dual of [(28, 4), 47, 51]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,61P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
linear OOA(3¹⁰⁶, 27, F₃, 4, 100) (dual of [(27, 4), 2, 101]-NRT-code), using
- 4 step truncation [i] based on linear OOA(3¹¹⁰, 28, F₃, 4, 104) (dual of [(28, 4), 2, 105]-NRT-code), using
  - repeating each code word 7 times [i] based on linear OOA(3¹⁴, 4, F₃, 4, 14) (dual of [(4, 4), 2, 15]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(4;2,3) [i]

Mode: Constructive and linear.

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