MinT - Information on Result #1087243

Information on Result #1087243

Linear OOA(3²⁴⁰, 65, F₃, 4, 179) (dual of [(65, 4), 20, 180]-NRT-code), using juxtaposition based on

linear OOA(3⁹², 28, F₃, 4, 77) (dual of [(28, 4), 20, 78]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,34P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹²⁸, 37, F₃, 4, 101) (dual of [(37, 4), 20, 102]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 128, 37)-net over F₃, using
  - net from sequence [i] based on digital (27, 36)-sequence over F₃, using
    - Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 26, N(F)Â =Â 36, and 1 place with degree 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(3²⁴⁰, 65, F₃, 4, 178) (dual of [(65, 4), 20, 179]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²⁴⁰, 65, F₃, 4, 177) (dual of [(65, 4), 20, 178]-NRT-code)	[i]
3	Linear OOA(3²⁴⁰, 65, F₃, 4, 176) (dual of [(65, 4), 20, 177]-NRT-code)	[i]
4	Linear OOA(3²⁴⁰, 65, F₃, 4, 175) (dual of [(65, 4), 20, 176]-NRT-code)	[i]
5	Linear OOA(3²⁴⁰, 65, F₃, 4, 174) (dual of [(65, 4), 20, 175]-NRT-code)	[i]
6	Linear OOA(3²⁴⁰, 65, F₃, 4, 173) (dual of [(65, 4), 20, 174]-NRT-code)	[i]
7	Linear OOA(3²⁴⁰, 65, F₃, 4, 172) (dual of [(65, 4), 20, 173]-NRT-code)	[i]
8	Linear OOA(3²⁴⁴, 66, F₃, 4, 179) (dual of [(66, 4), 20, 180]-NRT-code)	[i]	NRT-Code Embedding in Larger Space