MinT - Information on Result #1085824

Information on Result #1085824

Linear OOA(2²⁵⁵, 66, F₂, 4, 171) (dual of [(66, 4), 9, 172]-NRT-code), using repeating each code word 2 times based on linear OOA(2¹²³, 33, F₂, 4, 85) (dual of [(33, 4), 9, 86]-NRT-code), using

4 step truncation [i] based on linear OOA(2¹²⁷, 34, F₂, 4, 89) (dual of [(34, 4), 9, 90]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(2⁵⁹, 17, F₂, 4, 44) (dual of [(17, 4), 9, 45]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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]

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		Method
1	Linear OOA(2²⁵⁵, 66, F₂, 4, 170) (dual of [(66, 4), 9, 171]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁵⁵, 66, F₂, 4, 169) (dual of [(66, 4), 9, 170]-NRT-code)	[i]
3	Linear OOA(2²⁵⁵, 66, F₂, 4, 168) (dual of [(66, 4), 9, 169]-NRT-code)	[i]