MinT - Information on Result #2456674

Information on Result #2456674

Linear OOA(2¹⁰³, 56, F₂, 2, 56) (dual of [(56, 2), 9, 57]-NRT-code), using 6 step truncation based on linear OOA(2¹⁰⁹, 59, F₂, 2, 62) (dual of [(59, 2), 9, 63]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁹, 9, F₂, 2, 6) (dual of [(9, 2), 9, 7]-NRT-code), using
  - extracting embedded OOA [i] based on digital (3, 9, 9)-net over F₂, using
    - a shift-net [i]
2. linear OOA(2⁹¹, 50, F₂, 2, 55) (dual of [(50, 2), 9, 56]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(8⁷, 10, F₈, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
      - Denniston code D(1,8) [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.

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(2¹⁰³, 28, F₂, 4, 56) (dual of [(28, 4), 9, 57]-NRT-code)	[i]		OOA Folding