MinT - Information on Result #1027550

Information on Result #1027550

Linear OOA(4¹⁹⁵, 66, F₄, 3, 174) (dual of [(66, 3), 3, 175]-NRT-code), using juxtaposition based on

linear OOA(4⁶, 3, F₄, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁶, 4, F₄, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;6,4) [i]
linear OOA(4¹⁸⁶, 63, F₄, 3, 167) (dual of [(63, 3), 3, 168]-NRT-code), using
- repeating each code word 7 times [i] based on linear OOA(4²⁴, 9, F₄, 3, 23) (dual of [(9, 3), 3, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,3P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
    - the Hermitian function field over F₄ [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(4¹⁹⁵, 66, F₄, 3, 173) (dual of [(66, 3), 3, 174]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4¹⁹⁵, 66, F₄, 3, 172) (dual of [(66, 3), 3, 173]-NRT-code)	[i]
3	Linear OOA(4¹⁹⁵, 66, F₄, 3, 171) (dual of [(66, 3), 3, 172]-NRT-code)	[i]
4	Linear OOA(4¹⁹⁵, 66, F₄, 3, 170) (dual of [(66, 3), 3, 171]-NRT-code)	[i]
5	Linear OOA(4¹⁹⁵, 66, F₄, 3, 169) (dual of [(66, 3), 3, 170]-NRT-code)	[i]
6	Linear OOA(4¹⁹⁵, 66, F₄, 3, 168) (dual of [(66, 3), 3, 169]-NRT-code)	[i]
7	Linear OOA(4¹⁹⁵, 66, F₄, 3, 167) (dual of [(66, 3), 3, 168]-NRT-code)	[i]
8	Linear OOA(4¹⁹⁵, 66, F₄, 3, 166) (dual of [(66, 3), 3, 167]-NRT-code)	[i]
9	Linear OOA(4¹⁹⁵, 66, F₄, 3, 165) (dual of [(66, 3), 3, 166]-NRT-code)	[i]
10	Linear OOA(4¹⁹⁵, 66, F₄, 3, 164) (dual of [(66, 3), 3, 165]-NRT-code)	[i]
11	Linear OOA(4¹⁹⁵, 66, F₄, 3, 163) (dual of [(66, 3), 3, 164]-NRT-code)	[i]