MinT - Information on Result #906406

Information on Result #906406

Linear OOA(5¹²⁶, 65, F₅, 2, 103) (dual of [(65, 2), 4, 104]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(5²³, 13, F₅, 2, 20) (dual of [(13, 2), 3, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5²³, 16, F₅, 2, 20) (dual of [(16, 2), 9, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,11P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16, using
    - an explicitly constructive algebraic function field [i]
linear OOA(5²⁵, 13, F₅, 2, 25) (dual of [(13, 2), 1, 26]-NRT-code), using
- dual of repetition NRT-code with length 13 [i]
linear OOA(5²⁶, 13, F₅, 2, 26) (dual of [(13, 2), 0, 27]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(5²⁶, 13, F₅, 2, 26) (dual of [(13, 2), 0, 27]-NRT-code) (see above)
linear OOA(5²⁶, 13, F₅, 2, 26) (dual of [(13, 2), 0, 27]-NRT-code) (see above)

Mode: Constructive and linear.

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