MinT - Information on Result #906404

Information on Result #906404

Linear OOA(5¹³⁶, 70, F₅, 2, 111) (dual of [(70, 2), 4, 112]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(5²⁵, 14, F₅, 2, 22) (dual of [(14, 2), 3, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5²⁵, 16, F₅, 2, 22) (dual of [(16, 2), 7, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,9P) [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(5²⁷, 14, F₅, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
- dual of repetition NRT-code with length 14 [i]
linear OOA(5²⁸, 14, F₅, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(5²⁸, 14, F₅, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code) (see above)
linear OOA(5²⁸, 14, F₅, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code) (see above)

Mode: Constructive and linear.

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