MinT - Information on Result #909319

Information on Result #909319

Linear OOA(3⁴³, 23, F₃, 2, 34) (dual of [(23, 2), 3, 35]-NRT-code), using juxtaposition based on

linear OOA(3³, 3, F₃, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- Reedâ€“Solomon NRT-code RS(2;3,3) [i]
linear OOA(3³⁷, 20, F₃, 2, 30) (dual of [(20, 2), 3, 31]-NRT-code), using
- 2 step truncation [i] based on linear OOA(3³⁹, 21, F₃, 2, 32) (dual of [(21, 2), 3, 33]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(3¹¹, 7, F₃, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, 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(3⁴³, 23, F₃, 2, 33) (dual of [(23, 2), 3, 34]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3⁴³, 23, F₃, 2, 32) (dual of [(23, 2), 3, 33]-NRT-code)	[i]		Strength Reduction for OOAs