MinT - Information on Result #1084607

Information on Result #1084607

Linear OOA(3²²¹, 78, F₃, 4, 105) (dual of [(78, 4), 91, 106]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁵⁰, 26, F₃, 4, 35) (dual of [(26, 4), 54, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵⁰, 28, F₃, 4, 35) (dual of [(28, 4), 62, 36]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,76P) [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(3⁶⁷, 26, F₃, 4, 52) (dual of [(26, 4), 37, 53]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶⁷, 28, F₃, 4, 52) (dual of [(28, 4), 45, 53]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,59P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
linear OOA(3¹⁰⁴, 26, F₃, 4, 104) (dual of [(26, 4), 0, 105]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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