MinT - Information on Result #655457

Information on Result #655457

Linear OA(81⁶⁸, 369, F₈₁, 52) (dual of [369, 301, 53]-code), using algebraic-geometric code AG(F,316P) based on function field F/F₈₁ with g(F) = 16 and N(F) ≥ 370, using

a function field by GarcÃa and Quoos [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(81⁷¹, 372, F₈₁, 54) (dual of [372, 301, 55]-code)	[i]	✔	ConstructionÂ X with Algebraic-Geometric Codes
2	Linear OA(81⁶⁹, 372, F₈₁, 52) (dual of [372, 303, 53]-code)	[i]	✔
3	Linear OA(81⁷³, 374, F₈₁, 55) (dual of [374, 301, 56]-code)	[i]	✔
4	Linear OA(81⁷⁰, 374, F₈₁, 52) (dual of [374, 304, 53]-code)	[i]	✔
5	Linear OA(81⁷⁵, 376, F₈₁, 56) (dual of [376, 301, 57]-code)	[i]	✔
6	Linear OA(81⁷¹, 376, F₈₁, 52) (dual of [376, 305, 53]-code)	[i]	✔
7	Linear OA(81⁷⁷, 378, F₈₁, 57) (dual of [378, 301, 58]-code)	[i]	✔
8	Linear OA(81⁷², 378, F₈₁, 52) (dual of [378, 306, 53]-code)	[i]	✔
9	Linear OA(81⁷⁹, 380, F₈₁, 58) (dual of [380, 301, 59]-code)	[i]	✔
10	Linear OA(81⁷³, 380, F₈₁, 52) (dual of [380, 307, 53]-code)	[i]	✔
11	Linear OA(81⁸¹, 382, F₈₁, 59) (dual of [382, 301, 60]-code)	[i]	✔
12	Linear OA(81⁷⁴, 382, F₈₁, 52) (dual of [382, 308, 53]-code)	[i]	✔
13	Linear OA(81⁷⁵, 384, F₈₁, 52) (dual of [384, 309, 53]-code)	[i]	✔
14	Linear OA(81⁷⁶, 386, F₈₁, 52) (dual of [386, 310, 53]-code)	[i]	✔
15	Linear OA(81⁷⁷, 388, F₈₁, 52) (dual of [388, 311, 53]-code)	[i]	✔
16	Linear OA(81⁷⁸, 390, F₈₁, 52) (dual of [390, 312, 53]-code)	[i]	✔
17	Linear OA(81⁷⁹, 392, F₈₁, 52) (dual of [392, 313, 53]-code)	[i]	✔
18	Linear OA(81⁸⁰, 394, F₈₁, 52) (dual of [394, 314, 53]-code)	[i]	✔
19	Linear OA(81⁸¹, 396, F₈₁, 52) (dual of [396, 315, 53]-code)	[i]	✔
20	Linear OA(81⁸², 398, F₈₁, 52) (dual of [398, 316, 53]-code)	[i]	✔