MinT - Information on Result #1027647

Information on Result #1027647

Linear OOA(5⁷⁷, 27, F₅, 3, 69) (dual of [(27, 3), 4, 70]-NRT-code), using juxtaposition based on

linear OOA(5²³, 9, F₅, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5²³, 10, F₅, 3, 22) (dual of [(10, 3), 7, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₅ with g(F) = 1 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
linear OOA(5⁵⁰, 18, F₅, 3, 46) (dual of [(18, 3), 4, 47]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₅ with g(F) = 4 and N(F) ≥ 18, using
  - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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