MinT - Information on Result #1315834

Information on Result #1315834

Linear OA(64⁴², 314, F₆₄, 24) (dual of [314, 272, 25]-code), using 51 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (4, 0, 0, 0, 1, 13 times 0, 1, 32 times 0) based on linear OA(64³⁶, 257, F₆₄, 24) (dual of [257, 221, 25]-code), using

extended algebraic-geometric code AG_e(F,232P) [i] based on function field F/F₆₄ with g(F) = 12 and N(F) ≥ 257, using
- K_1,2 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F₆₄ [i]

Mode: 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		Method
1	Linear OOA(64⁴², 314, F₆₄, 2, 24) (dual of [(314, 2), 586, 25]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(64⁴², 314, F₆₄, 3, 24) (dual of [(314, 3), 900, 25]-NRT-code)	[i]
3	Digital (18, 42, 314)-net over F₆₄	[i]