MinT - Information on Result #1003555

Information on Result #1003555

Linear OOA(4²¹⁰, 531, F₄, 3, 63) (dual of [(531, 3), 1383, 64]-NRT-code), using extracting embedded OOA based on digital (147, 210, 531)-net over F₄, using

trace code for nets [i] based on digital (7, 70, 177)-net over F₆₄, using
- net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
    - a function field by GarcÃa and Quoos [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(4²¹³, 532, F₄, 3, 63) (dual of [(532, 3), 1383, 64]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(4²¹⁶, 533, F₄, 3, 63) (dual of [(533, 3), 1383, 64]-NRT-code)	[i]
3	Linear OOA(4²¹⁹, 534, F₄, 3, 63) (dual of [(534, 3), 1383, 64]-NRT-code)	[i]
4	Linear OOA(4²¹¹, 531, F₄, 3, 63) (dual of [(531, 3), 1382, 64]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(4²¹², 531, F₄, 3, 63) (dual of [(531, 3), 1381, 64]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(4²⁴², 542, F₄, 3, 63) (dual of [(542, 3), 1384, 64]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
7	Linear OOA(4²⁴⁴, 545, F₄, 3, 63) (dual of [(545, 3), 1391, 64]-NRT-code)	[i]
8	Linear OOA(4²⁴⁵, 546, F₄, 3, 63) (dual of [(546, 3), 1393, 64]-NRT-code)	[i]
9	Linear OOA(4²⁴⁶, 548, F₄, 3, 63) (dual of [(548, 3), 1398, 64]-NRT-code)	[i]
10	Linear OOA(4²⁴⁸, 552, F₄, 3, 63) (dual of [(552, 3), 1408, 64]-NRT-code)	[i]
11	Linear OOA(4²⁵⁰, 553, F₄, 3, 63) (dual of [(553, 3), 1409, 64]-NRT-code)	[i]
12	Linear OOA(4²⁵¹, 558, F₄, 3, 63) (dual of [(558, 3), 1423, 64]-NRT-code)	[i]