MinT - Information on Result #1058477

Information on Result #1058477

Linear OOA(2¹⁴⁵, 37, F₂, 4, 102) (dual of [(37, 4), 3, 103]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁴⁵, 74, F₂, 2, 102) (dual of [(74, 2), 3, 103]-NRT-code), using

2 step truncation [i] based on linear OOA(2¹⁴⁷, 75, F₂, 2, 104) (dual of [(75, 2), 3, 105]-NRT-code), using
- repeating each code word 15 times [i] based on linear OOA(2⁷, 5, F₂, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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		This result only	Method
1	Linear OOA(2²³⁵, 70, F₂, 4, 102) (dual of [(70, 4), 45, 103]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs