MinT - Information on Result #1026241

Information on Result #1026241

Linear OOA(3²²⁴, 78, F₃, 3, 163) (dual of [(78, 3), 10, 164]-NRT-code), using juxtaposition based on

linear OOA(3⁵⁶, 22, F₃, 3, 43) (dual of [(22, 3), 10, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵⁶, 24, F₃, 3, 43) (dual of [(24, 3), 16, 44]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,28P) [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(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(3²²⁴, 78, F₃, 3, 162) (dual of [(78, 3), 10, 163]-NRT-code)	[i]		Strength Reduction for OOAs