MinT - Information on Result #2763812

Information on Result #2763812

Linear OOA(2¹⁹², 52, F₂, 4, 118) (dual of [(52, 4), 16, 119]-NRT-code), using strength reduction based on linear OOA(2¹⁹², 52, F₂, 4, 119) (dual of [(52, 4), 16, 120]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶⁰, 19, F₂, 4, 41) (dual of [(19, 4), 16, 42]-NRT-code), using
  - algebraic-geometric NRT-code AG(4;F,34P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹¹⁶, 33, F₂, 4, 77) (dual of [(33, 4), 16, 78]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,54P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, 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(2²⁶⁰, 69, F₂, 4, 156) (dual of [(69, 4), 16, 157]-NRT-code)	[i]		Juxtaposition for OOAs