MinT - Information on Result #1173277

Information on Result #1173277

Linear OOA(2¹³⁶, 260, F₂, 8, 28) (dual of [(260, 8), 1944, 29]-NRT-code), using extracting embedded OOA based on digital (108, 136, 260)-net over F₂, using

trace code for nets [i] based on digital (6, 34, 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(2¹³⁶, 260, F₂, 8, 27) (dual of [(260, 8), 1944, 28]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁴⁴, 261, F₂, 8, 28) (dual of [(261, 8), 1944, 29]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2¹³⁷, 260, F₂, 8, 28) (dual of [(260, 8), 1943, 29]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(2¹³⁸, 260, F₂, 8, 28) (dual of [(260, 8), 1942, 29]-NRT-code)	[i]
5	Linear OOA(2¹³⁹, 260, F₂, 8, 28) (dual of [(260, 8), 1941, 29]-NRT-code)	[i]
6	Linear OOA(2¹⁴¹, 260, F₂, 8, 28) (dual of [(260, 8), 1939, 29]-NRT-code)	[i]
7	Linear OOA(2¹⁴², 260, F₂, 8, 28) (dual of [(260, 8), 1938, 29]-NRT-code)	[i]
8	Linear OOA(2¹⁴³, 260, F₂, 8, 28) (dual of [(260, 8), 1937, 29]-NRT-code)	[i]
9	Linear OOA(2¹⁵⁰, 263, F₂, 8, 28) (dual of [(263, 8), 1954, 29]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
10	Linear OOA(2¹⁵¹, 265, F₂, 8, 28) (dual of [(265, 8), 1969, 29]-NRT-code)	[i]
11	Linear OOA(2¹⁵², 266, F₂, 8, 28) (dual of [(266, 8), 1976, 29]-NRT-code)	[i]
12	Linear OOA(2¹⁵³, 267, F₂, 8, 28) (dual of [(267, 8), 1983, 29]-NRT-code)	[i]
13	Linear OOA(2¹⁵⁴, 268, F₂, 8, 28) (dual of [(268, 8), 1990, 29]-NRT-code)	[i]