MinT - Information on Result #1084424

Information on Result #1084424

Linear OOA(3¹⁸⁸, 51, F₃, 4, 134) (dual of [(51, 4), 16, 135]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁵³, 17, F₃, 4, 44) (dual of [(17, 4), 15, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵³, 19, F₃, 4, 44) (dual of [(19, 4), 23, 45]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,31P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3⁶⁷, 17, F₃, 4, 67) (dual of [(17, 4), 1, 68]-NRT-code), using
- dual of repetition NRT-code with length 17 [i]
linear OOA(3⁶⁸, 17, F₃, 4, 68) (dual of [(17, 4), 0, 69]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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