MinT - Information on Result #1026153

Information on Result #1026153

Linear OOA(3²¹⁶, 76, F₃, 3, 153) (dual of [(76, 3), 12, 154]-NRT-code), using juxtaposition based on

linear OOA(3⁴⁸, 20, F₃, 3, 37) (dual of [(20, 3), 12, 38]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 48, 20)-net over F₃, using
  - net from sequence [i] based on digital (11, 19)-sequence over F₃, using
    - Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 9, N(F)Â =Â 19, and 1 place with degree 3 [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using an explicitly constructive algebraic function field [i]
linear OOA(3¹⁵⁶, 56, F₃, 3, 115) (dual of [(56, 3), 12, 116]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(3⁷², 28, F₃, 3, 57) (dual of [(28, 3), 12, 58]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,26P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²¹⁶, 76, F₃, 3, 152) (dual of [(76, 3), 12, 153]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²¹⁶, 76, F₃, 3, 151) (dual of [(76, 3), 12, 152]-NRT-code)	[i]		Strength Reduction for OOAs