MinT - Information on Result #1024296

Information on Result #1024296

Linear OOA(4¹⁸⁹, 64, F₄, 3, 167) (dual of [(64, 3), 3, 168]-NRT-code), using repeating each code word 8 times based on linear OOA(4²¹, 8, F₄, 3, 20) (dual of [(8, 3), 3, 21]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(4²¹, 9, F₄, 3, 20) (dual of [(9, 3), 6, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,6P) [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		Method
1	Linear OOA(4¹⁸⁹, 64, F₄, 3, 166) (dual of [(64, 3), 3, 167]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(4¹⁸⁹, 64, F₄, 3, 165) (dual of [(64, 3), 3, 166]-NRT-code)	[i]
3	Linear OOA(4¹⁸⁹, 64, F₄, 3, 164) (dual of [(64, 3), 3, 165]-NRT-code)	[i]
4	Linear OOA(4¹⁸⁹, 64, F₄, 3, 163) (dual of [(64, 3), 3, 164]-NRT-code)	[i]
5	Linear OOA(4¹⁸⁹, 64, F₄, 3, 162) (dual of [(64, 3), 3, 163]-NRT-code)	[i]
6	Linear OOA(4¹⁸⁹, 64, F₄, 3, 161) (dual of [(64, 3), 3, 162]-NRT-code)	[i]
7	Linear OOA(4¹⁸⁹, 64, F₄, 3, 160) (dual of [(64, 3), 3, 161]-NRT-code)	[i]