MinT - Information on Result #1026548

Information on Result #1026548

Linear OOA(3¹⁹⁷, 67, F₃, 3, 161) (dual of [(67, 3), 4, 162]-NRT-code), using juxtaposition based on

linear OOA(3⁸, 4, F₃, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;4,3) [i]
linear OOA(3¹⁸⁵, 63, F₃, 3, 152) (dual of [(63, 3), 4, 153]-NRT-code), using
- repeating each code word 9 times [i] based on linear OOA(3¹⁷, 7, F₃, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,4P) [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.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3¹⁹⁷, 67, F₃, 3, 160) (dual of [(67, 3), 4, 161]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁹⁷, 67, F₃, 3, 159) (dual of [(67, 3), 4, 160]-NRT-code)	[i]
3	Linear OOA(3¹⁹⁷, 67, F₃, 3, 158) (dual of [(67, 3), 4, 159]-NRT-code)	[i]
4	Linear OOA(3¹⁹⁷, 67, F₃, 3, 157) (dual of [(67, 3), 4, 158]-NRT-code)	[i]
5	Linear OOA(3¹⁹⁷, 67, F₃, 3, 156) (dual of [(67, 3), 4, 157]-NRT-code)	[i]
6	Linear OOA(3¹⁹⁷, 67, F₃, 3, 155) (dual of [(67, 3), 4, 156]-NRT-code)	[i]
7	Linear OOA(3¹⁹⁷, 67, F₃, 3, 154) (dual of [(67, 3), 4, 155]-NRT-code)	[i]
8	Linear OOA(3¹⁹⁷, 67, F₃, 3, 153) (dual of [(67, 3), 4, 154]-NRT-code)	[i]
9	Linear OOA(3¹⁹⁷, 67, F₃, 3, 152) (dual of [(67, 3), 4, 153]-NRT-code)	[i]