MinT - Information on Result #1026477

Information on Result #1026477

Linear OOA(3²²⁶, 77, F₃, 3, 177) (dual of [(77, 3), 5, 178]-NRT-code), using juxtaposition based on

linear OOA(3¹⁰, 5, F₃, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁰, 7, F₃, 3, 9) (dual of [(7, 3), 11, 10]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3²¹¹, 72, F₃, 3, 167) (dual of [(72, 3), 5, 168]-NRT-code), using
- repeating each code word 6 times [i] based on linear OOA(3³¹, 12, F₃, 3, 27) (dual of [(12, 3), 5, 28]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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(3²²⁶, 77, F₃, 3, 176) (dual of [(77, 3), 5, 177]-NRT-code)	[i]		Strength Reduction for OOAs