MinT - Information on Result #1110589

Information on Result #1110589

Linear OOA(2¹⁵², 260, F₂, 5, 32) (dual of [(260, 5), 1148, 33]-NRT-code), using extracting embedded OOA based on digital (120, 152, 260)-net over F₂, using

trace code for nets [i] based on digital (6, 38, 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(2¹⁵², 260, F₂, 5, 31) (dual of [(260, 5), 1148, 32]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁵⁷, 261, F₂, 5, 32) (dual of [(261, 5), 1148, 33]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2¹⁶², 262, F₂, 5, 32) (dual of [(262, 5), 1148, 33]-NRT-code)	[i]
4	Linear OOA(2¹⁶⁷, 263, F₂, 5, 32) (dual of [(263, 5), 1148, 33]-NRT-code)	[i]
5	Linear OOA(2¹⁵³, 260, F₂, 5, 32) (dual of [(260, 5), 1147, 33]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(2¹⁵⁴, 260, F₂, 5, 32) (dual of [(260, 5), 1146, 33]-NRT-code)	[i]
7	Linear OOA(2¹⁵⁵, 260, F₂, 5, 32) (dual of [(260, 5), 1145, 33]-NRT-code)	[i]
8	Linear OOA(2¹⁶⁹, 265, F₂, 5, 32) (dual of [(265, 5), 1156, 33]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
9	Linear OOA(2¹⁷⁰, 266, F₂, 5, 32) (dual of [(266, 5), 1160, 33]-NRT-code)	[i]
10	Linear OOA(2¹⁷¹, 267, F₂, 5, 32) (dual of [(267, 5), 1164, 33]-NRT-code)	[i]
11	Linear OOA(2¹⁷², 268, F₂, 5, 32) (dual of [(268, 5), 1168, 33]-NRT-code)	[i]
12	Linear OOA(2¹⁷³, 269, F₂, 5, 32) (dual of [(269, 5), 1172, 33]-NRT-code)	[i]
13	Linear OOA(2¹⁷⁴, 270, F₂, 5, 32) (dual of [(270, 5), 1176, 33]-NRT-code)	[i]