MinT - Information on Result #1173135

Information on Result #1173135

Linear OOA(2¹²⁴, 260, F₂, 8, 25) (dual of [(260, 8), 1956, 26]-NRT-code), using extracting embedded OOA based on digital (99, 124, 260)-net over F₂, using

trace code for nets [i] based on digital (6, 31, 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(2¹²⁴, 260, F₂, 8, 24) (dual of [(260, 8), 1956, 25]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹³², 261, F₂, 8, 25) (dual of [(261, 8), 1956, 26]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2¹²⁵, 260, F₂, 8, 25) (dual of [(260, 8), 1955, 26]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(2¹²⁶, 260, F₂, 8, 25) (dual of [(260, 8), 1954, 26]-NRT-code)	[i]
5	Linear OOA(2¹²⁷, 260, F₂, 8, 25) (dual of [(260, 8), 1953, 26]-NRT-code)	[i]
6	Linear OOA(2¹²⁹, 260, F₂, 8, 25) (dual of [(260, 8), 1951, 26]-NRT-code)	[i]
7	Linear OOA(2¹³⁰, 260, F₂, 8, 25) (dual of [(260, 8), 1950, 26]-NRT-code)	[i]
8	Linear OOA(2¹³¹, 260, F₂, 8, 25) (dual of [(260, 8), 1949, 26]-NRT-code)	[i]
9	Linear OOA(2¹³⁶, 263, F₂, 8, 25) (dual of [(263, 8), 1968, 26]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
10	Linear OOA(2¹³⁷, 265, F₂, 8, 25) (dual of [(265, 8), 1983, 26]-NRT-code)	[i]
11	Linear OOA(2¹³⁸, 266, F₂, 8, 25) (dual of [(266, 8), 1990, 26]-NRT-code)	[i]
12	Linear OOA(2¹³⁹, 267, F₂, 8, 25) (dual of [(267, 8), 1997, 26]-NRT-code)	[i]