MinT - Information on Result #906271

Information on Result #906271

Linear OOA(4⁸⁷, 48, F₄, 2, 59) (dual of [(48, 2), 9, 60]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4¹⁷, 12, F₄, 2, 14) (dual of [(12, 2), 7, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹⁷, 14, F₄, 2, 14) (dual of [(14, 2), 11, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,13P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4²², 12, F₄, 2, 19) (dual of [(12, 2), 2, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²², 14, F₄, 2, 19) (dual of [(14, 2), 6, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,8P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14 (see above)
linear OOA(4²⁴, 12, F₄, 2, 24) (dual of [(12, 2), 0, 25]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(4²⁴, 12, F₄, 2, 24) (dual of [(12, 2), 0, 25]-NRT-code) (see above)

Mode: Constructive and linear.

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