MinT - Information on Result #2617932

Information on Result #2617932

Linear OOA(2²²⁹, 78, F₂, 3, 162) (dual of [(78, 3), 5, 163]-NRT-code), using strength reduction based on linear OOA(2²²⁹, 78, F₂, 3, 163) (dual of [(78, 3), 5, 164]-NRT-code), using

repeating each code word 2 times [i] based on linear OOA(2¹¹², 39, F₂, 3, 81) (dual of [(39, 3), 5, 82]-NRT-code), using
- 2 step truncation [i] based on linear OOA(2¹¹⁴, 40, F₂, 3, 83) (dual of [(40, 3), 6, 84]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(8⁶, 8, F₈, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,8)), using
      - Reedâ€“Solomon code RS(2,8) [i]
    2. linear OOA(2¹², 5, F₂, 3, 11) (dual of [(5, 3), 3, 12]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;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.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.