MinT - Information on Result #906261

Information on Result #906261

Linear OOA(4⁸⁴, 44, F₄, 2, 65) (dual of [(44, 2), 4, 66]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4¹⁹, 11, F₄, 2, 16) (dual of [(11, 2), 3, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹⁹, 14, F₄, 2, 16) (dual of [(14, 2), 9, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,11P) [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(4²¹, 11, F₄, 2, 21) (dual of [(11, 2), 1, 22]-NRT-code), using
- dual of repetition NRT-code with length 11 [i]
linear OOA(4²², 11, F₄, 2, 22) (dual of [(11, 2), 0, 23]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(4²², 11, F₄, 2, 22) (dual of [(11, 2), 0, 23]-NRT-code) (see above)

Mode: Constructive and linear.

None.

None.