MinT - Information on Result #1157653

Information on Result #1157653

Linear OOA(2¹⁵⁶, 260, F₂, 7, 33) (dual of [(260, 7), 1664, 34]-NRT-code), using extracting embedded OOA based on digital (123, 156, 260)-net over F₂, using

trace code for nets [i] based on digital (6, 39, 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(2¹⁵⁶, 260, F₂, 7, 32) (dual of [(260, 7), 1664, 33]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁶³, 261, F₂, 7, 33) (dual of [(261, 7), 1664, 34]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2¹⁷⁰, 262, F₂, 7, 33) (dual of [(262, 7), 1664, 34]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(2¹⁵⁷, 260, F₂, 7, 33) (dual of [(260, 7), 1663, 34]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(2¹⁵⁸, 260, F₂, 7, 33) (dual of [(260, 7), 1662, 34]-NRT-code)	[i]
6	Linear OOA(2¹⁵⁹, 260, F₂, 7, 33) (dual of [(260, 7), 1661, 34]-NRT-code)	[i]
7	Linear OOA(2¹⁶¹, 260, F₂, 7, 33) (dual of [(260, 7), 1659, 34]-NRT-code)	[i]
8	Linear OOA(2¹⁶², 260, F₂, 7, 33) (dual of [(260, 7), 1658, 34]-NRT-code)	[i]
9	Linear OOA(2¹⁷², 263, F₂, 7, 33) (dual of [(263, 7), 1669, 34]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
10	Linear OOA(2¹⁷³, 265, F₂, 7, 33) (dual of [(265, 7), 1682, 34]-NRT-code)	[i]
11	Linear OOA(2¹⁷⁴, 266, F₂, 7, 33) (dual of [(266, 7), 1688, 34]-NRT-code)	[i]
12	Linear OOA(2¹⁷⁵, 267, F₂, 7, 33) (dual of [(267, 7), 1694, 34]-NRT-code)	[i]
13	Linear OOA(2¹⁷⁶, 268, F₂, 7, 33) (dual of [(268, 7), 1700, 34]-NRT-code)	[i]