MinT - Information on Result #651489

Information on Result #651489

Linear OA(32⁶⁸, 119, F₃₂, 57) (dual of [119, 51, 58]-code), using algebraic-geometric code AG(F,61P) based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120, using

a function field by SÃ©mirat [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 OA(32⁷¹, 122, F₃₂, 59) (dual of [122, 51, 60]-code)	[i]	✔	ConstructionÂ X with Algebraic-Geometric Codes
2	Linear OA(32⁶⁹, 122, F₃₂, 57) (dual of [122, 53, 58]-code)	[i]	✔
3	Linear OA(32⁷³, 124, F₃₂, 60) (dual of [124, 51, 61]-code)	[i]	✔
4	Linear OA(32⁷⁰, 124, F₃₂, 57) (dual of [124, 54, 58]-code)	[i]	✔
5	Linear OA(32⁷⁵, 126, F₃₂, 61) (dual of [126, 51, 62]-code)	[i]	✔
6	Linear OA(32⁷¹, 126, F₃₂, 57) (dual of [126, 55, 58]-code)	[i]	✔
7	Linear OA(32⁷⁷, 128, F₃₂, 62) (dual of [128, 51, 63]-code)	[i]	✔
8	Linear OA(32⁷², 128, F₃₂, 57) (dual of [128, 56, 58]-code)	[i]	✔
9	Linear OA(32⁷⁹, 130, F₃₂, 63) (dual of [130, 51, 64]-code)	[i]	✔
10	Linear OA(32⁷³, 130, F₃₂, 57) (dual of [130, 57, 58]-code)	[i]	✔
11	Linear OA(32⁸¹, 132, F₃₂, 64) (dual of [132, 51, 65]-code)	[i]	✔
12	Linear OA(32⁷⁴, 132, F₃₂, 57) (dual of [132, 58, 58]-code)	[i]	✔
13	Linear OA(32⁸³, 134, F₃₂, 65) (dual of [134, 51, 66]-code)	[i]	✔
14	Linear OA(32⁷⁵, 134, F₃₂, 57) (dual of [134, 59, 58]-code)	[i]	✔
15	Linear OA(32⁸⁵, 136, F₃₂, 66) (dual of [136, 51, 67]-code)	[i]	✔
16	Linear OA(32⁷⁶, 136, F₃₂, 57) (dual of [136, 60, 58]-code)	[i]	✔
17	Linear OA(32⁸⁷, 138, F₃₂, 67) (dual of [138, 51, 68]-code)	[i]	✔
18	Linear OA(32⁷⁷, 138, F₃₂, 57) (dual of [138, 61, 58]-code)	[i]	✔
19	Linear OA(32⁸⁹, 140, F₃₂, 68) (dual of [140, 51, 69]-code)	[i]	✔
20	Linear OA(32⁷⁸, 140, F₃₂, 57) (dual of [140, 62, 58]-code)	[i]	✔
21	Linear OA(32⁹¹, 142, F₃₂, 69) (dual of [142, 51, 70]-code)	[i]	✔
22	Linear OA(32⁷⁹, 142, F₃₂, 57) (dual of [142, 63, 58]-code)	[i]	✔
23	Linear OA(32⁹³, 144, F₃₂, 70) (dual of [144, 51, 71]-code)	[i]	✔
24	Linear OA(32⁸⁰, 144, F₃₂, 57) (dual of [144, 64, 58]-code)	[i]	✔
25	Linear OA(32⁹⁵, 146, F₃₂, 71) (dual of [146, 51, 72]-code)	[i]	✔
26	Linear OA(32⁸¹, 146, F₃₂, 57) (dual of [146, 65, 58]-code)	[i]	✔
27	Linear OA(32⁹⁷, 148, F₃₂, 72) (dual of [148, 51, 73]-code)	[i]	✔
28	Linear OA(32⁸², 148, F₃₂, 57) (dual of [148, 66, 58]-code)	[i]	✔
29	Linear OA(32⁹⁹, 150, F₃₂, 73) (dual of [150, 51, 74]-code)	[i]	✔
30	Linear OA(32⁸³, 150, F₃₂, 57) (dual of [150, 67, 58]-code)	[i]	✔
31	Linear OA(32¹⁰¹, 152, F₃₂, 74) (dual of [152, 51, 75]-code)	[i]	✔
32	Linear OA(32⁸⁴, 152, F₃₂, 57) (dual of [152, 68, 58]-code)	[i]	✔
33	Linear OA(32¹⁰⁴, 155, F₃₂, 75) (dual of [155, 51, 76]-code)	[i]	✔
34	Linear OA(32⁸⁶, 155, F₃₂, 57) (dual of [155, 69, 58]-code)	[i]	✔
35	Linear OA(32¹⁰⁶, 157, F₃₂, 76) (dual of [157, 51, 77]-code)	[i]	✔
36	Linear OA(32⁸⁷, 157, F₃₂, 57) (dual of [157, 70, 58]-code)	[i]	✔
37	Linear OA(32¹⁰⁸, 159, F₃₂, 77) (dual of [159, 51, 78]-code)	[i]	✔
38	Linear OA(32⁸⁸, 159, F₃₂, 57) (dual of [159, 71, 58]-code)	[i]	✔
39	Linear OA(32¹¹⁰, 161, F₃₂, 78) (dual of [161, 51, 79]-code)	[i]	✔
40	Linear OA(32⁸⁹, 161, F₃₂, 57) (dual of [161, 72, 58]-code)	[i]	✔
41	Linear OA(32⁹⁰, 163, F₃₂, 57) (dual of [163, 73, 58]-code)	[i]	✔
42	Linear OA(32⁹³, 167, F₃₂, 57) (dual of [167, 74, 58]-code)	[i]	✔
43	Linear OA(32⁹⁴, 169, F₃₂, 57) (dual of [169, 75, 58]-code)	[i]	✔
44	Linear OA(32⁹⁵, 171, F₃₂, 57) (dual of [171, 76, 58]-code)	[i]	✔
45	Linear OA(32⁹⁶, 173, F₃₂, 57) (dual of [173, 77, 58]-code)	[i]	✔