MinT - Information on Result #1157202

Information on Result #1157202

Linear OOA(2¹²⁰, 260, F₂, 7, 24) (dual of [(260, 7), 1700, 25]-NRT-code), using extracting embedded OOA based on digital (96, 120, 260)-net over F₂, using

trace code for nets [i] based on digital (6, 30, 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(2¹²⁰, 260, F₂, 7, 23) (dual of [(260, 7), 1700, 24]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹²⁷, 261, F₂, 7, 24) (dual of [(261, 7), 1700, 25]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2¹²¹, 260, F₂, 7, 24) (dual of [(260, 7), 1699, 25]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(2¹²², 260, F₂, 7, 24) (dual of [(260, 7), 1698, 25]-NRT-code)	[i]
5	Linear OOA(2¹²³, 260, F₂, 7, 24) (dual of [(260, 7), 1697, 25]-NRT-code)	[i]
6	Linear OOA(2¹²⁵, 260, F₂, 7, 24) (dual of [(260, 7), 1695, 25]-NRT-code)	[i]
7	Linear OOA(2¹²⁶, 260, F₂, 7, 24) (dual of [(260, 7), 1694, 25]-NRT-code)	[i]