MinT - Information on Result #1009837

Information on Result #1009837

Linear OOA(2¹²⁰, 43, F₂, 3, 66) (dual of [(43, 3), 9, 67]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁵⁴, 21, F₂, 3, 33) (dual of [(21, 3), 9, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,29P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2⁶⁶, 22, F₂, 3, 66) (dual of [(22, 3), 0, 67]-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(2²⁵², 87, F₂, 3, 132) (dual of [(87, 3), 9, 133]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(2²⁵⁴, 88, F₂, 3, 133) (dual of [(88, 3), 10, 134]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs