MinT - Information on Result #1074951

Information on Result #1074951

Linear OOA(2¹¹⁰, 60, F₂, 4, 42) (dual of [(60, 4), 130, 43]-NRT-code), using extracting embedded OOA based on digital (68, 110, 60)-net over F₂, using

trace code for nets [i] based on digital (13, 55, 30)-net over F₄, using
- net from sequence [i] based on digital (13, 29)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 13 and N(F) ≥ 30, using
    - F₄ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [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(2¹¹⁰, 60, F₂, 4, 41) (dual of [(60, 4), 130, 42]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹¹¹, 60, F₂, 4, 42) (dual of [(60, 4), 129, 43]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(2¹¹³, 60, F₂, 4, 42) (dual of [(60, 4), 127, 43]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(2¹¹⁰, 30, F₂, 7, 42) (dual of [(30, 7), 100, 43]-NRT-code)	[i]		OOA Folding
5	Linear OOA(2¹¹⁰, 30, F₂, 8, 42) (dual of [(30, 8), 130, 43]-NRT-code)	[i]		OOA Folding