MinT - Information on Result #1024390

Information on Result #1024390

Linear OOA(4²¹⁹, 75, F₄, 3, 179) (dual of [(75, 3), 6, 180]-NRT-code), using repeating each code word 5 times based on linear OOA(4³⁹, 15, F₄, 3, 35) (dual of [(15, 3), 6, 36]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, 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(4²¹⁹, 75, F₄, 3, 178) (dual of [(75, 3), 6, 179]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(4²¹⁹, 75, F₄, 3, 177) (dual of [(75, 3), 6, 178]-NRT-code)	[i]
3	Linear OOA(4²¹⁹, 75, F₄, 3, 176) (dual of [(75, 3), 6, 177]-NRT-code)	[i]
4	Linear OOA(4²¹⁹, 75, F₄, 3, 175) (dual of [(75, 3), 6, 176]-NRT-code)	[i]