MinT - Information on Result #1075436

Information on Result #1075436

Linear OOA(2²⁰⁴, 260, F₂, 4, 45) (dual of [(260, 4), 836, 46]-NRT-code), using extracting embedded OOA based on digital (159, 204, 260)-net over F₂, using

trace code for nets [i] based on digital (6, 51, 65)-net over F₁₆, using
- net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
    - the Hermitian function field over F₁₆ [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(2²⁰⁸, 261, F₂, 4, 45) (dual of [(261, 4), 836, 46]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(2²¹², 262, F₂, 4, 45) (dual of [(262, 4), 836, 46]-NRT-code)	[i]
3	Linear OOA(2²¹⁶, 263, F₂, 4, 45) (dual of [(263, 4), 836, 46]-NRT-code)	[i]
4	Linear OOA(2²²⁰, 264, F₂, 4, 45) (dual of [(264, 4), 836, 46]-NRT-code)	[i]
5	Linear OOA(2²⁰⁵, 260, F₂, 4, 45) (dual of [(260, 4), 835, 46]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(2²⁰⁶, 260, F₂, 4, 45) (dual of [(260, 4), 834, 46]-NRT-code)	[i]
7	Linear OOA(2²⁰⁷, 260, F₂, 4, 45) (dual of [(260, 4), 833, 46]-NRT-code)	[i]
8	Linear OOA(2²³⁵, 272, F₂, 4, 45) (dual of [(272, 4), 853, 46]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
9	Linear OOA(2²³⁷, 274, F₂, 4, 45) (dual of [(274, 4), 859, 46]-NRT-code)	[i]
10	Linear OOA(2²³⁹, 275, F₂, 4, 45) (dual of [(275, 4), 861, 46]-NRT-code)	[i]
11	Linear OOA(2²⁰⁴, 130, F₂, 7, 45) (dual of [(130, 7), 706, 46]-NRT-code)	[i]		OOA Folding
12	Linear OOA(2²⁰⁴, 130, F₂, 8, 45) (dual of [(130, 8), 836, 46]-NRT-code)	[i]		OOA Folding