MinT - Information on Result #1045850

Information on Result #1045850

Linear OOA(64⁶⁸, 176, F₆₄, 3, 61) (dual of [(176, 3), 460, 62]-NRT-code), using algebraic-geometric NRT-code AG(3;F,466P) based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, 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 OOA(64⁷⁷, 179, F₆₄, 3, 66) (dual of [(179, 3), 460, 67]-NRT-code)	[i]	✔	ConstructionÂ X with Algebraic-Geometric NRT-Codes
2	Linear OOA(64⁷², 179, F₆₄, 3, 61) (dual of [(179, 3), 465, 62]-NRT-code)	[i]	✔
3	Linear OOA(64⁸¹, 180, F₆₄, 3, 68) (dual of [(180, 3), 459, 69]-NRT-code)	[i]	✔
4	Linear OOA(64⁷⁴, 180, F₆₄, 3, 61) (dual of [(180, 3), 466, 62]-NRT-code)	[i]	✔
5	Linear OOA(64⁸³, 181, F₆₄, 3, 69) (dual of [(181, 3), 460, 70]-NRT-code)	[i]	✔
6	Linear OOA(64⁷⁵, 181, F₆₄, 3, 61) (dual of [(181, 3), 468, 62]-NRT-code)	[i]	✔
7	Linear OOA(64⁸⁷, 182, F₆₄, 3, 71) (dual of [(182, 3), 459, 72]-NRT-code)	[i]	✔
8	Linear OOA(64⁷⁷, 182, F₆₄, 3, 61) (dual of [(182, 3), 469, 62]-NRT-code)	[i]	✔
9	Linear OOA(64⁸⁹, 183, F₆₄, 3, 72) (dual of [(183, 3), 460, 73]-NRT-code)	[i]	✔
10	Linear OOA(64⁷⁸, 183, F₆₄, 3, 61) (dual of [(183, 3), 471, 62]-NRT-code)	[i]	✔
11	Linear OOA(64⁸⁰, 184, F₆₄, 3, 61) (dual of [(184, 3), 472, 62]-NRT-code)	[i]	✔
12	Linear OOA(64⁸¹, 185, F₆₄, 3, 61) (dual of [(185, 3), 474, 62]-NRT-code)	[i]	✔
13	Linear OOA(64⁸³, 186, F₆₄, 3, 61) (dual of [(186, 3), 475, 62]-NRT-code)	[i]	✔
14	Linear OOA(64⁸⁴, 187, F₆₄, 3, 61) (dual of [(187, 3), 477, 62]-NRT-code)	[i]	✔
15	Linear OOA(64⁸⁶, 188, F₆₄, 3, 61) (dual of [(188, 3), 478, 62]-NRT-code)	[i]	✔
16	Linear OOA(64⁸⁷, 189, F₆₄, 3, 61) (dual of [(189, 3), 480, 62]-NRT-code)	[i]	✔