MinT - Information on Result #1021256

Information on Result #1021256

Linear OOA(4¹⁷⁰, 60, F₄, 3, 131) (dual of [(60, 3), 10, 132]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(4³⁶, 15, F₄, 3, 32) (dual of [(15, 3), 9, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4⁴⁴, 15, F₄, 3, 43) (dual of [(15, 3), 1, 44]-NRT-code), using
- strength reduction [i] based on linear OOA(4⁴⁴, 15, F₄, 3, 44) (dual of [(15, 3), 1, 45]-NRT-code), using
  - dual of repetition NRT-code with length 15 [i]
linear OOA(4⁴⁵, 15, F₄, 3, 45) (dual of [(15, 3), 0, 46]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(4⁴⁵, 15, F₄, 3, 45) (dual of [(15, 3), 0, 46]-NRT-code) (see above)

Mode: Constructive and linear.

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