MinT - Information on Result #1027659

Information on Result #1027659

Linear OOA(5⁹⁶, 33, F₅, 3, 87) (dual of [(33, 3), 3, 88]-NRT-code), using juxtaposition based on

linear OOA(5⁶, 3, F₅, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5⁶, 5, F₅, 3, 6) (dual of [(5, 3), 9, 7]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;9,5) [i]
linear OOA(5⁸⁷, 30, F₅, 3, 80) (dual of [(30, 3), 3, 81]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(5²⁷, 10, F₅, 3, 26) (dual of [(10, 3), 3, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,3P) [i] based on function field F/F₅ with g(F) = 1 and N(F) ≥ 10, 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(5⁹⁶, 33, F₅, 3, 86) (dual of [(33, 3), 3, 87]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(5⁹⁶, 33, F₅, 3, 85) (dual of [(33, 3), 3, 86]-NRT-code)	[i]		Strength Reduction for OOAs