MinT - Information on Result #1024571

Information on Result #1024571

Linear OOA(4²³⁵, 81, F₄, 3, 191) (dual of [(81, 3), 8, 192]-NRT-code), using repeating each code word 3 times based on linear OOA(4⁷³, 27, F₄, 3, 63) (dual of [(27, 3), 8, 64]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(3;F,17P) [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(4²³⁵, 81, F₄, 3, 190) (dual of [(81, 3), 8, 191]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(4²³⁵, 81, F₄, 3, 189) (dual of [(81, 3), 8, 190]-NRT-code)	[i]
3	Linear OOA(4²³⁵, 81, F₄, 3, 188) (dual of [(81, 3), 8, 189]-NRT-code)	[i]
4	Linear OOA(4²³⁵, 81, F₄, 3, 187) (dual of [(81, 3), 8, 188]-NRT-code)	[i]
5	Linear OOA(4²³⁵, 81, F₄, 3, 186) (dual of [(81, 3), 8, 187]-NRT-code)	[i]
6	Linear OOA(4²³⁵, 81, F₄, 3, 185) (dual of [(81, 3), 8, 186]-NRT-code)	[i]
7	Linear OOA(4²³⁵, 81, F₄, 3, 184) (dual of [(81, 3), 8, 185]-NRT-code)	[i]
8	Linear OOA(4²³³, 80, F₄, 3, 189) (dual of [(80, 3), 7, 190]-NRT-code)	[i]	Truncation for OOAs
9	Linear OOA(4²³², 80, F₄, 3, 188) (dual of [(80, 3), 8, 189]-NRT-code)	[i]
10	Linear OOA(4²³¹, 79, F₄, 3, 187) (dual of [(79, 3), 6, 188]-NRT-code)	[i]
11	Linear OOA(4²³⁰, 79, F₄, 3, 186) (dual of [(79, 3), 7, 187]-NRT-code)	[i]
12	Linear OOA(4²²⁹, 79, F₄, 3, 185) (dual of [(79, 3), 8, 186]-NRT-code)	[i]
13	Linear OOA(4²²⁴, 77, F₄, 3, 180) (dual of [(77, 3), 7, 181]-NRT-code)	[i]
14	Linear OOA(4²²³, 77, F₄, 3, 179) (dual of [(77, 3), 8, 180]-NRT-code)	[i]
15	Linear OOA(4²⁵⁹, 89, F₄, 3, 207) (dual of [(89, 3), 8, 208]-NRT-code)	[i]	Juxtaposition for OOAs