MinT - Information on Result #911395

Information on Result #911395

Linear OOA(2¹⁴⁴, 75, F₂, 2, 90) (dual of [(75, 2), 6, 91]-NRT-code), using concatenation of two NRT-codes based on

linear OA(8¹³, 15, F₈, 12) (dual of [15, 2, 13]-code), using
- 3 times truncation [i] based on linear OA(8¹⁶, 18, F₈, 15) (dual of [18, 2, 16]-code), using
  - repeating each code word 2 times [i] based on linear OA(8⁷, 9, F₈, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,8)), using
    - extended Reedâ€“Solomon code RS_e(2,8) [i]
    - Simplex code S(2,8) [i]
linear OOA(2⁷, 5, F₂, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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