MinT - Information on Result #1009748

Information on Result #1009748

Linear OOA(2⁹⁶, 35, F₂, 3, 54) (dual of [(35, 3), 9, 55]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁴², 17, F₂, 3, 27) (dual of [(17, 3), 9, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, 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(2²⁰⁴, 71, F₂, 3, 108) (dual of [(71, 3), 9, 109]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(2²⁰⁶, 72, F₂, 3, 109) (dual of [(72, 3), 10, 110]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs