MinT - Information on Result #907565

Information on Result #907565

Linear OOA(2³⁹, 22, F₂, 2, 23) (dual of [(22, 2), 5, 24]-NRT-code), using repeating each code word 2 times based on linear OOA(2¹⁷, 11, F₂, 2, 11) (dual of [(11, 2), 5, 12]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁶, 5, F₂, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹¹, 6, F₂, 2, 11) (dual of [(6, 2), 1, 12]-NRT-code), using
  - dual of repetition NRT-code with length 6 [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(2⁴⁹, 27, F₂, 2, 28) (dual of [(27, 2), 5, 29]-NRT-code)	[i]		Juxtaposition for OOAs