MinT - Information on Result #1026345

Information on Result #1026345

Linear OOA(3²²⁹, 79, F₃, 3, 172) (dual of [(79, 3), 8, 173]-NRT-code), using juxtaposition based on

linear OOA(3⁶¹, 23, F₃, 3, 48) (dual of [(23, 3), 8, 49]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶¹, 24, F₃, 3, 48) (dual of [(24, 3), 11, 49]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
linear OOA(3¹⁶⁰, 56, F₃, 3, 123) (dual of [(56, 3), 8, 124]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(3⁷⁶, 28, F₃, 3, 61) (dual of [(28, 3), 8, 62]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,22P) [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(3²²⁹, 79, F₃, 3, 171) (dual of [(79, 3), 8, 172]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²²⁹, 79, F₃, 3, 170) (dual of [(79, 3), 8, 171]-NRT-code)	[i]		Strength Reduction for OOAs