MinT - Information on Result #1020938

Information on Result #1020938

Linear OOA(3¹³¹, 48, F₃, 3, 89) (dual of [(48, 3), 13, 90]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3³⁶, 16, F₃, 3, 29) (dual of [(16, 3), 12, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3⁴⁷, 16, F₃, 3, 44) (dual of [(16, 3), 1, 45]-NRT-code), using
- strength reduction [i] based on linear OOA(3⁴⁷, 16, F₃, 3, 47) (dual of [(16, 3), 1, 48]-NRT-code), using
  - dual of repetition NRT-code with length 16 [i]
linear OOA(3⁴⁸, 16, F₃, 3, 48) (dual of [(16, 3), 0, 49]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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