MinT - Information on Result #1024535

Information on Result #1024535

Linear OOA(4²¹⁶, 75, F₄, 3, 170) (dual of [(75, 3), 9, 171]-NRT-code), using repeating each code word 3 times based on linear OOA(4⁶⁶, 25, F₄, 3, 56) (dual of [(25, 3), 9, 57]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(4⁶⁶, 26, F₄, 3, 56) (dual of [(26, 3), 12, 57]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,21P) [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		Method
1	Linear OOA(4²¹⁶, 75, F₄, 3, 169) (dual of [(75, 3), 9, 170]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(4²¹⁶, 75, F₄, 3, 168) (dual of [(75, 3), 9, 169]-NRT-code)	[i]
3	Linear OOA(4²¹⁶, 75, F₄, 3, 167) (dual of [(75, 3), 9, 168]-NRT-code)	[i]
4	Linear OOA(4²¹⁶, 75, F₄, 3, 166) (dual of [(75, 3), 9, 167]-NRT-code)	[i]