MinT - Information on Result #1140395

Information on Result #1140395

Linear OOA(2¹²⁴, 260, F₂, 6, 25) (dual of [(260, 6), 1436, 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, 6, 24) (dual of [(260, 6), 1436, 25]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹³⁰, 261, F₂, 6, 25) (dual of [(261, 6), 1436, 26]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2¹²⁵, 260, F₂, 6, 25) (dual of [(260, 6), 1435, 26]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(2¹²⁶, 260, F₂, 6, 25) (dual of [(260, 6), 1434, 26]-NRT-code)	[i]
5	Linear OOA(2¹²⁷, 260, F₂, 6, 25) (dual of [(260, 6), 1433, 26]-NRT-code)	[i]
6	Linear OOA(2¹²⁹, 260, F₂, 6, 25) (dual of [(260, 6), 1431, 26]-NRT-code)	[i]