MinT - Information on Result #1003060

Information on Result #1003060

Linear OOA(4⁸⁴, 130, F₄, 3, 36) (dual of [(130, 3), 306, 37]-NRT-code), using extracting embedded OOA based on digital (48, 84, 130)-net over F₄, using

trace code for nets [i] based on digital (6, 42, 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(4⁸⁴, 130, F₄, 3, 35) (dual of [(130, 3), 306, 36]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4⁸⁷, 131, F₄, 3, 36) (dual of [(131, 3), 306, 37]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(4⁹⁰, 132, F₄, 3, 36) (dual of [(132, 3), 306, 37]-NRT-code)	[i]
4	Linear OOA(4⁹³, 133, F₄, 3, 36) (dual of [(133, 3), 306, 37]-NRT-code)	[i]
5	Linear OOA(4⁹⁶, 134, F₄, 3, 36) (dual of [(134, 3), 306, 37]-NRT-code)	[i]
6	Linear OOA(4⁹⁹, 135, F₄, 3, 36) (dual of [(135, 3), 306, 37]-NRT-code)	[i]
7	Linear OOA(4¹⁰², 136, F₄, 3, 36) (dual of [(136, 3), 306, 37]-NRT-code)	[i]
8	Linear OOA(4⁸⁵, 130, F₄, 3, 36) (dual of [(130, 3), 305, 37]-NRT-code)	[i]		OOA Duplication
9	Linear OOA(4¹⁰³, 139, F₄, 3, 36) (dual of [(139, 3), 314, 37]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
10	Linear OOA(4¹⁰⁴, 140, F₄, 3, 36) (dual of [(140, 3), 316, 37]-NRT-code)	[i]
11	Linear OOA(4¹⁰⁵, 144, F₄, 3, 36) (dual of [(144, 3), 327, 37]-NRT-code)	[i]
12	Linear OOA(4¹⁰⁶, 145, F₄, 3, 36) (dual of [(145, 3), 329, 37]-NRT-code)	[i]
13	Linear OOA(4¹⁰⁷, 147, F₄, 3, 36) (dual of [(147, 3), 334, 37]-NRT-code)	[i]