MinT - Information on Result #1110657

Information on Result #1110657

Linear OOA(2¹⁶⁰, 260, F₂, 5, 34) (dual of [(260, 5), 1140, 35]-NRT-code), using extracting embedded OOA based on digital (126, 160, 260)-net over F₂, using

trace code for nets [i] based on digital (6, 40, 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(2¹⁶⁰, 260, F₂, 5, 33) (dual of [(260, 5), 1140, 34]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁶⁵, 261, F₂, 5, 34) (dual of [(261, 5), 1140, 35]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2¹⁷⁰, 262, F₂, 5, 34) (dual of [(262, 5), 1140, 35]-NRT-code)	[i]
4	Linear OOA(2¹⁷⁵, 263, F₂, 5, 34) (dual of [(263, 5), 1140, 35]-NRT-code)	[i]
5	Linear OOA(2¹⁶¹, 260, F₂, 5, 34) (dual of [(260, 5), 1139, 35]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(2¹⁶², 260, F₂, 5, 34) (dual of [(260, 5), 1138, 35]-NRT-code)	[i]
7	Linear OOA(2¹⁶³, 260, F₂, 5, 34) (dual of [(260, 5), 1137, 35]-NRT-code)	[i]
8	Linear OOA(2¹⁷⁸, 265, F₂, 5, 34) (dual of [(265, 5), 1147, 35]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
9	Linear OOA(2¹⁷⁹, 266, F₂, 5, 34) (dual of [(266, 5), 1151, 35]-NRT-code)	[i]
10	Linear OOA(2¹⁸⁰, 267, F₂, 5, 34) (dual of [(267, 5), 1155, 35]-NRT-code)	[i]
11	Linear OOA(2¹⁸¹, 268, F₂, 5, 34) (dual of [(268, 5), 1159, 35]-NRT-code)	[i]
12	Linear OOA(2¹⁸², 269, F₂, 5, 34) (dual of [(269, 5), 1163, 35]-NRT-code)	[i]
13	Linear OOA(2¹⁸³, 270, F₂, 5, 34) (dual of [(270, 5), 1167, 35]-NRT-code)	[i]