MinT - Information on Result #1027383

Information on Result #1027383

Linear OOA(4¹⁹⁸, 68, F₄, 3, 165) (dual of [(68, 3), 6, 166]-NRT-code), using juxtaposition based on

linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁵⁶, 54, F₄, 3, 131) (dual of [(54, 3), 6, 132]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(4⁷⁵, 27, F₄, 3, 65) (dual of [(27, 3), 6, 66]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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(4¹⁹⁸, 68, F₄, 3, 164) (dual of [(68, 3), 6, 165]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4¹⁹⁸, 68, F₄, 3, 163) (dual of [(68, 3), 6, 164]-NRT-code)	[i]
3	Linear OOA(4¹⁹⁸, 68, F₄, 3, 162) (dual of [(68, 3), 6, 163]-NRT-code)	[i]
4	Linear OOA(4¹⁹⁸, 68, F₄, 3, 161) (dual of [(68, 3), 6, 162]-NRT-code)	[i]
5	Linear OOA(4¹⁹⁸, 68, F₄, 3, 160) (dual of [(68, 3), 6, 161]-NRT-code)	[i]
6	Linear OOA(4¹⁹⁸, 68, F₄, 3, 159) (dual of [(68, 3), 6, 160]-NRT-code)	[i]
7	Linear OOA(4¹⁹⁷, 67, F₄, 3, 164) (dual of [(67, 3), 4, 165]-NRT-code)	[i]		Truncation for OOAs
8	Linear OOA(4¹⁹⁶, 67, F₄, 3, 163) (dual of [(67, 3), 5, 164]-NRT-code)	[i]		Truncation for OOAs
9	Linear OOA(4²⁴⁰, 82, F₄, 3, 199) (dual of [(82, 3), 6, 200]-NRT-code)	[i]		Juxtaposition for OOAs
10	Linear OOA(4²⁴⁹, 85, F₄, 3, 206) (dual of [(85, 3), 6, 207]-NRT-code)	[i]		Juxtaposition for OOAs