MinT - Information on Result #1120978

Information on Result #1120978

Linear OOA(3²²⁷, 50, F₃, 5, 177) (dual of [(50, 5), 23, 178]-NRT-code), using juxtaposition based on

linear OOA(3⁹², 23, F₃, 5, 79) (dual of [(23, 5), 23, 80]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁹², 24, F₃, 5, 79) (dual of [(24, 5), 28, 80]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,40P) [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(3¹¹², 27, F₃, 5, 97) (dual of [(27, 5), 23, 98]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹¹², 28, F₃, 5, 97) (dual of [(28, 5), 28, 98]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,42P) [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(3²²⁷, 50, F₃, 5, 176) (dual of [(50, 5), 23, 177]-NRT-code)	[i]		Strength Reduction for OOAs