MinT - Information on Result #2653895

Information on Result #2653895

Linear OOA(2²⁰⁸, 71, F₂, 3, 149) (dual of [(71, 3), 5, 150]-NRT-code), using 2 step truncation based on linear OOA(2²¹⁰, 72, F₂, 3, 151) (dual of [(72, 3), 6, 152]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. 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(2²¹, 8, F₂, 3, 18) (dual of [(8, 3), 3, 19]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁶, 3, F₂, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(3;3,2) [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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2²²³, 76, F₂, 3, 159) (dual of [(76, 3), 5, 160]-NRT-code)	[i]		Juxtaposition for OOAs