MinT - Information on Result #1021209

Information on Result #1021209

Linear OOA(4²²⁸, 77, F₄, 3, 179) (dual of [(77, 3), 3, 180]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4⁴⁹, 17, F₄, 3, 44) (dual of [(17, 3), 2, 45]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4⁵⁹, 20, F₄, 3, 59) (dual of [(20, 3), 1, 60]-NRT-code), using
- dual of repetition NRT-code with length 20 [i]
linear OOA(4⁶⁰, 20, F₄, 3, 60) (dual of [(20, 3), 0, 61]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(4⁶⁰, 20, F₄, 3, 60) (dual of [(20, 3), 0, 61]-NRT-code) (see above)

Mode: Constructive and linear.

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