MinT - Information on Result #1315778

Information on Result #1315778

Linear OA(64³³, 272, F₆₄, 19) (dual of [272, 239, 20]-code), using 13 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (2, 12 times 0) based on linear OA(64³¹, 257, F₆₄, 19) (dual of [257, 226, 20]-code), using

extended algebraic-geometric code AG_e(F,237P) [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(64³³, 272, F₆₄, 2, 19) (dual of [(272, 2), 511, 20]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(64³³, 272, F₆₄, 3, 19) (dual of [(272, 3), 783, 20]-NRT-code)	[i]
3	Digital (14, 33, 272)-net over F₆₄	[i]