MinT - Information on Result #941555

Information on Result #941555

Linear OOA(2¹⁹⁴, 100, F₂, 2, 121) (dual of [(100, 2), 6, 122]-NRT-code), using juxtaposition based on

linear OOA(2¹⁴, 10, F₂, 2, 9) (dual of [(10, 2), 6, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 14, 10)-net over F₂, using
  - linear code embedding found in a computer search [i]
linear OOA(2¹⁷⁴, 90, F₂, 2, 111) (dual of [(90, 2), 6, 112]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. 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]
  2. 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.

None.

The following results depend on this result: