[{"command":"settings","settings":{"basePath":"\/educacion\/","pathPrefix":"","ajaxPageState":{"theme":"fa_facned","theme_token":"IyOQqM0uCYdZqubiPxVpww-NcGVtxuLR61JT4B6F19M"}},"merge":true},{"command":"informationProductos","data":{"html":"\u003Cdiv class=\u0022entity entity-productos productos-productos clearfix\u0022\u003E\n\n      \u003Ch2\u003E\n              Bh Sets as a generalization of Golomb rulers          \u003C\/h2\u003E\n  \n  \u003Cdiv class=\u0022content\u0022\u003E\n    \u003Cdiv class=\u0022form-item form-type-item\u0022\u003E\n  \u003Clabel\u003Efecha de publicaci\u00f3n \u003C\/label\u003E\n 2021-08-23\n\u003C\/div\u003E\n\u003Cdiv class=\u0022form-item form-type-item\u0022\u003E\n  \u003Clabel\u003ETipo de producto acad\u00e9mico \u003C\/label\u003E\n Publicaciones de investigaci\u00f3n\n\u003C\/div\u003E\n\u003Cdiv class=\u0022form-item form-type-item\u0022\u003E\n  \u003Clabel\u003EAutor(es) \u003C\/label\u003E\n Carlos Andr\u00e9s Martos Ojeda, Carlos Alberto Trujillo Solarte, Gersa\u0026iacute;n Mois\u0026eacute;s Dagua  Fern\u0026aacute;ndez , Luis Miguel Delgado\n\u003C\/div\u003E\n\u003Cdiv class=\u0022form-item form-type-item\u0022\u003E\n  \u003Clabel\u003EDescripcion \u003C\/label\u003E\n A set of positive integers A is called a Golomb ruler if the difference between two distinct elements of A are different, equivalently if the sums of two elements are different (B2 set, Sidon set). An extension of this concept is to consider that the sum of h elements in A are all different, except for permutation of the summands, with h \u2265 2, in this case it is said that A is a set Bh, the length of A is given by \u2113(A) = maxA - minA. One problem associated with this type of set is that of the optimal dense Bh sets, that is, determining the greatest cardinal of a set Bh contained in the integer interval [1,N], for this defines the function Fh(N). Another problem that can be associated is the optimally short Bh sets, that is, finding a shorter Bh set with m elements, for which the Gh(m) function is defined. In this paper we are going to prove that these two problems are inverse, that is, that the functions Gh(m) and Fh(N) have inverse relationships. Furthermore, the asymptotic behavior of the Gh(m) function is studied, obtaining some upper and lower bounds, we also obtain tables of B3 and B4 near-optimal up to m = 31.\n\u003C\/div\u003E\n\u003Cdiv class=\u0022form-item form-type-item\u0022\u003E\n  \u003Clabel\u003EDescarga \u003C\/label\u003E\n \u003Ca href=\u0022https:\/\/ieeexplore.ieee.org\/stamp\/stamp.jsp?tp=\u0026arnumber=9520365\u0022\u003E \u003Cimg src =\u0022\/educacion\n\/sites\/all\/modules\/custom\/images\/download.png\u0022 width=\u002220\u0022 height=\u002220\u0022\/\u003E\u003C\/a\u003E\n\u003C\/div\u003E\n  \u003C\/div\u003E\n\u003C\/div\u003E\n"}}]