MinT - Information on Result #923411

Information on Result #923411

Linear OOA(8¹⁴⁴, 97, F₈, 2, 107) (dual of [(97, 2), 50, 108]-NRT-code), using algebraic-geometric NRT-code AG(2;F,86P) based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98, using

F₅ from the tower of function fields over F₈ by van der Geer and van der Vlugt [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(8¹⁵¹, 100, F₈, 2, 111) (dual of [(100, 2), 49, 112]-NRT-code)	[i]	✔	ConstructionÂ X with Algebraic-Geometric NRT-Codes
2	Linear OOA(8¹⁴⁷, 100, F₈, 2, 107) (dual of [(100, 2), 53, 108]-NRT-code)	[i]	✔
3	Linear OOA(8¹⁵³, 101, F₈, 2, 112) (dual of [(101, 2), 49, 113]-NRT-code)	[i]	✔
4	Linear OOA(8¹⁴⁸, 101, F₈, 2, 107) (dual of [(101, 2), 54, 108]-NRT-code)	[i]	✔
5	Linear OOA(8¹⁵⁵, 102, F₈, 2, 113) (dual of [(102, 2), 49, 114]-NRT-code)	[i]	✔
6	Linear OOA(8¹⁴⁹, 102, F₈, 2, 107) (dual of [(102, 2), 55, 108]-NRT-code)	[i]	✔
7	Linear OOA(8¹⁵⁷, 103, F₈, 2, 114) (dual of [(103, 2), 49, 115]-NRT-code)	[i]	✔
8	Linear OOA(8¹⁵⁰, 103, F₈, 2, 107) (dual of [(103, 2), 56, 108]-NRT-code)	[i]	✔
9	Linear OOA(8¹⁵⁹, 104, F₈, 2, 115) (dual of [(104, 2), 49, 116]-NRT-code)	[i]	✔
10	Linear OOA(8¹⁵¹, 104, F₈, 2, 107) (dual of [(104, 2), 57, 108]-NRT-code)	[i]	✔
11	Linear OOA(8¹⁶¹, 105, F₈, 2, 116) (dual of [(105, 2), 49, 117]-NRT-code)	[i]	✔
12	Linear OOA(8¹⁵², 105, F₈, 2, 107) (dual of [(105, 2), 58, 108]-NRT-code)	[i]	✔
13	Linear OOA(8¹⁶³, 106, F₈, 2, 117) (dual of [(106, 2), 49, 118]-NRT-code)	[i]	✔
14	Linear OOA(8¹⁶⁴, 107, F₈, 2, 117) (dual of [(107, 2), 50, 118]-NRT-code)	[i]	✔
15	Linear OOA(8¹⁵³, 106, F₈, 2, 107) (dual of [(106, 2), 59, 108]-NRT-code)	[i]	✔
16	Linear OOA(8¹⁵⁴, 107, F₈, 2, 107) (dual of [(107, 2), 60, 108]-NRT-code)	[i]	✔
17	Linear OOA(8¹⁶⁶, 108, F₈, 2, 118) (dual of [(108, 2), 50, 119]-NRT-code)	[i]	✔
18	Linear OOA(8¹⁵⁵, 108, F₈, 2, 107) (dual of [(108, 2), 61, 108]-NRT-code)	[i]	✔
19	Linear OOA(8¹⁶⁸, 109, F₈, 2, 119) (dual of [(109, 2), 50, 120]-NRT-code)	[i]	✔
20	Linear OOA(8¹⁵⁶, 109, F₈, 2, 107) (dual of [(109, 2), 62, 108]-NRT-code)	[i]	✔
21	Linear OOA(8¹⁷⁰, 110, F₈, 2, 120) (dual of [(110, 2), 50, 121]-NRT-code)	[i]	✔
22	Linear OOA(8¹⁵⁷, 110, F₈, 2, 107) (dual of [(110, 2), 63, 108]-NRT-code)	[i]	✔
23	Linear OOA(8¹⁷², 111, F₈, 2, 121) (dual of [(111, 2), 50, 122]-NRT-code)	[i]	✔
24	Linear OOA(8¹⁵⁸, 111, F₈, 2, 107) (dual of [(111, 2), 64, 108]-NRT-code)	[i]	✔
25	Linear OOA(8¹⁶¹, 113, F₈, 2, 107) (dual of [(113, 2), 65, 108]-NRT-code)	[i]	✔
26	Linear OOA(8¹⁶², 114, F₈, 2, 107) (dual of [(114, 2), 66, 108]-NRT-code)	[i]	✔
27	Linear OOA(8¹⁶³, 115, F₈, 2, 107) (dual of [(115, 2), 67, 108]-NRT-code)	[i]	✔
28	Linear OOA(8¹⁶⁴, 116, F₈, 2, 107) (dual of [(116, 2), 68, 108]-NRT-code)	[i]	✔
29	Linear OOA(8¹⁶⁵, 117, F₈, 2, 107) (dual of [(117, 2), 69, 108]-NRT-code)	[i]	✔
30	Linear OOA(8¹⁶⁶, 118, F₈, 2, 107) (dual of [(118, 2), 70, 108]-NRT-code)	[i]	✔
31	Linear OOA(8¹⁶⁷, 119, F₈, 2, 107) (dual of [(119, 2), 71, 108]-NRT-code)	[i]	✔
32	Linear OOA(8¹⁶⁸, 120, F₈, 2, 107) (dual of [(120, 2), 72, 108]-NRT-code)	[i]	✔
33	Linear OOA(8¹⁶⁹, 121, F₈, 2, 107) (dual of [(121, 2), 73, 108]-NRT-code)	[i]	✔
34	Linear OOA(8¹⁷², 123, F₈, 2, 107) (dual of [(123, 2), 74, 108]-NRT-code)	[i]	✔
35	Linear OOA(8¹⁷³, 124, F₈, 2, 107) (dual of [(124, 2), 75, 108]-NRT-code)	[i]	✔