MinT - Information on Result #1009747

Information on Result #1009747

Linear OOA(2⁹², 32, F₂, 3, 54) (dual of [(32, 3), 4, 55]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2³⁸, 14, F₂, 3, 27) (dual of [(14, 3), 4, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,14P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2⁵⁴, 18, F₂, 3, 54) (dual of [(18, 3), 0, 55]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [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(2²⁰⁰, 68, F₂, 3, 108) (dual of [(68, 3), 4, 109]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(2²⁰², 69, F₂, 3, 109) (dual of [(69, 3), 5, 110]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs