MinT - Information on Result #1026227

Information on Result #1026227

Linear OOA(3²⁰⁶, 72, F₃, 3, 151) (dual of [(72, 3), 10, 152]-NRT-code), using juxtaposition based on

linear OOA(3³⁸, 16, F₃, 3, 31) (dual of [(16, 3), 10, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,16P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁵⁸, 56, F₃, 3, 119) (dual of [(56, 3), 10, 120]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(3⁷⁴, 28, F₃, 3, 59) (dual of [(28, 3), 10, 60]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,24P) [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(3²⁰⁶, 72, F₃, 3, 150) (dual of [(72, 3), 10, 151]-NRT-code)	[i]		Strength Reduction for OOAs