MinT - Information on Result #650834

Information on Result #650834

Linear OA(32⁶³, 103, F₃₂, 54) (dual of [103, 40, 55]-code), using algebraic-geometric code AG(F,48P) based on function field F/F₃₂ with g(F) = 9 and N(F) ≥ 104, 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(32⁶⁶, 106, F₃₂, 56) (dual of [106, 40, 57]-code)	[i]	✔	ConstructionÂ X with Algebraic-Geometric Codes
2	Linear OA(32⁶⁴, 106, F₃₂, 54) (dual of [106, 42, 55]-code)	[i]	✔
3	Linear OA(32⁹⁴, 134, F₃₂, 70) (dual of [134, 40, 71]-code)	[i]	✔
4	Linear OA(32⁷⁸, 134, F₃₂, 54) (dual of [134, 56, 55]-code)	[i]	✔
5	Linear OA(32⁹⁶, 136, F₃₂, 71) (dual of [136, 40, 72]-code)	[i]	✔
6	Linear OA(32⁷⁹, 136, F₃₂, 54) (dual of [136, 57, 55]-code)	[i]	✔
7	Linear OA(32⁹⁹, 139, F₃₂, 72) (dual of [139, 40, 73]-code)	[i]	✔
8	Linear OA(32⁸¹, 139, F₃₂, 54) (dual of [139, 58, 55]-code)	[i]	✔
9	Linear OA(32¹⁰¹, 141, F₃₂, 73) (dual of [141, 40, 74]-code)	[i]	✔
10	Linear OA(32⁸², 141, F₃₂, 54) (dual of [141, 59, 55]-code)	[i]	✔
11	Linear OA(32¹⁰³, 143, F₃₂, 74) (dual of [143, 40, 75]-code)	[i]	✔
12	Linear OA(32⁸³, 143, F₃₂, 54) (dual of [143, 60, 55]-code)	[i]	✔
13	Linear OA(32¹⁰⁵, 145, F₃₂, 75) (dual of [145, 40, 76]-code)	[i]	✔
14	Linear OA(32⁸⁴, 145, F₃₂, 54) (dual of [145, 61, 55]-code)	[i]	✔
15	Linear OA(32¹⁰⁷, 147, F₃₂, 76) (dual of [147, 40, 77]-code)	[i]	✔
16	Linear OA(32⁸⁵, 147, F₃₂, 54) (dual of [147, 62, 55]-code)	[i]	✔
17	Linear OA(32⁸⁸, 151, F₃₂, 54) (dual of [151, 63, 55]-code)	[i]	✔
18	Linear OA(32⁸⁹, 153, F₃₂, 54) (dual of [153, 64, 55]-code)	[i]	✔
19	Linear OA(32⁹⁰, 155, F₃₂, 54) (dual of [155, 65, 55]-code)	[i]	✔
20	Linear OA(32⁹¹, 157, F₃₂, 54) (dual of [157, 66, 55]-code)	[i]	✔