Maybe you know some sage with an older version online, in my computer I am only able to install 7 using docker, but it seems that there are no more older docker sage versions? --------------------------------------------------------------------- D.Sc. Juan del Carmen Grados Vásquez Laboratório Nacional de Computação Científica Tel: +55 21 97633 3228 (http://www.lncc.br/) http://juaninf.blogspot.com ---------------------------------------------------------------------
El dom, 7 feb 2021 a las 22:51, Juan Grados (<juan...@gmail.com>) escribió: > Yes, but according to that paper it will be 65, and not 37. The paper is > from 2016, maybe with an older SAGE version I get 65?. I tried version 7 > and also I obtained 37. > --------------------------------------------------------------------- > D.Sc. Juan del Carmen Grados Vásquez > Laboratório Nacional de Computação Científica > Tel: +55 21 97633 3228 > (http://www.lncc.br/) > http://juaninf.blogspot.com > --------------------------------------------------------------------- > > > El dom, 7 feb 2021 a las 22:43, Vincent Delecroix (< > 20100.delecr...@gmail.com>) escribió: > >> Note that these are 37 inequalities and not 65. >> >> Le 07/02/2021 à 19:41, Vincent Delecroix a écrit : >> > Dear Juan, >> > >> > With sage 9.2 I obtain very quickly the output >> > >> > An inequality (-1, -1, -1, 0, 0, 0, 1) x + 2 >= 0 >> > An inequality (0, -1, 0, 0, 0, 0, 0) x + 1 >= 0 >> > An inequality (-1, 0, 0, 0, 0, 0, 0) x + 1 >= 0 >> > An inequality (0, 0, -1, 0, 0, 0, 0) x + 1 >= 0 >> > An inequality (-1, 1, 0, 0, 0, 0, -1) x + 1 >= 0 >> > An inequality (-1, 0, 1, 0, 0, 0, -1) x + 1 >= 0 >> > An inequality (0, -1, 1, 0, 0, 0, -1) x + 1 >= 0 >> > An inequality (0, 1, -1, 0, 0, 0, -1) x + 1 >= 0 >> > An inequality (1, -1, 0, 0, 0, 0, -1) x + 1 >= 0 >> > An inequality (1, 0, -1, 0, 0, 0, -1) x + 1 >= 0 >> > An inequality (1, 1, 1, -3, 0, 0, -2) x + 2 >= 0 >> > An inequality (0, 0, 1, -1, 0, 0, -1) x + 1 >= 0 >> > An inequality (1, 0, 0, -1, 0, 0, -1) x + 1 >= 0 >> > An inequality (0, 0, 0, -1, 0, 0, 0) x + 1 >= 0 >> > An inequality (0, 1, 0, -1, 0, 0, -1) x + 1 >= 0 >> > An inequality (0, 0, 0, 0, -1, 0, 0) x + 1 >= 0 >> > An inequality (0, 0, 0, 0, 0, -1, 0) x + 1 >= 0 >> > An inequality (0, 0, -1, 1, -1, 0, -1) x + 2 >= 0 >> > An inequality (-1, 0, 0, 1, -1, 0, -1) x + 2 >= 0 >> > An inequality (0, -1, 0, 1, -1, 0, -1) x + 2 >= 0 >> > An inequality (-1, -1, -1, 3, -3, 0, -2) x + 5 >= 0 >> > An inequality (1, 1, 1, 0, 0, 0, 1) x - 1 >= 0 >> > An inequality (0, 0, 1, 0, 0, 0, 0) x + 0 >= 0 >> > An inequality (0, 0, 0, 1, 0, 0, 0) x + 0 >= 0 >> > An inequality (0, 0, 1, 0, 1, -1, -1) x + 1 >= 0 >> > An inequality (0, 1, 0, 0, 1, -1, -1) x + 1 >= 0 >> > An inequality (1, 1, 1, 0, 3, -3, -2) x + 2 >= 0 >> > An inequality (-1, -1, -1, 3, 0, 3, -2) x + 2 >= 0 >> > An inequality (0, 1, 0, 0, 0, 0, 0) x + 0 >= 0 >> > An inequality (1, 0, 0, 0, 1, -1, -1) x + 1 >= 0 >> > An inequality (0, 0, 0, 0, 0, 0, 1) x + 0 >= 0 >> > An inequality (1, 0, 0, 0, 0, 0, 0) x + 0 >= 0 >> > An inequality (0, 0, 0, 0, 1, 0, 0) x + 0 >= 0 >> > An inequality (0, 0, 0, 0, 0, 1, 0) x + 0 >= 0 >> > An inequality (0, -1, 0, 1, 0, 1, -1) x + 1 >= 0 >> > An inequality (-1, 0, 0, 1, 0, 1, -1) x + 1 >= 0 >> > An inequality (0, 0, -1, 1, 0, 1, -1) x + 1 >= 0 >> > >> > You should describe more precisely what is the problem with your >> > version 9. What is not working with the code? >> > >> > Best regards, >> > Vincent >> > >> > Le 07/02/2021 à 19:34, Juan Grados a écrit : >> >> Dear members, >> >> I am trying to reproduce page 9 of >> >> https://eprint.iacr.org/2016/407.pdf but >> >> until now is not possible to find the 65 inequalities that paper says. >> >> I am >> >> thinking that maybe this is because the version of SAGE I am using >> >> (this is >> >> 9). Do you think that there is any chance to obtain 65 inequalities >> >> using P.Hrepresentation() in other version of SAGE? >> >> >> >> from sage.all import * >> >> vertices = [i for i in range(2**6)] >> >> vertices_to_drop = [] >> >> def eq(x, y, z): >> >> if (x == y and y == z): >> >> return 1 >> >> return 0 >> >> for j in range(2**6): >> >> if ((((j>>5)&1) == ((j>>4)&1) and ((j>>4)&1) == ((j>>3)&1)) and >> >> (((j>>3)&1) != (((j>>2)&1) ^ ((j>>1)&1) ^ ((j>>0)&1)))): >> >> vertices_to_drop.append(j); >> >> possible_patterns = list(set(vertices) - set(vertices_to_drop)) >> >> print(possible_patterns) >> >> possible_patterns_vector = [] >> >> for num in possible_patterns: >> >> possible_patterns_vector.append([int(n) for n in >> >> bin(num)[2:].zfill(6)] + [eq(((num>>5)&1), ((num>>4)&1), ((num>>3)&1)) >> >> ^ 1]) >> >> print(possible_patterns_vector[0]) >> >> print(possible_patterns_vector[1]) >> >> P = Polyhedron(vertices = possible_patterns_vector) >> >> for h in P.Hrepresentation(): >> >> print(h) >> >> >> >> >> >> >> >> >> >> --------------------------------------------------------------------- >> >> D.Sc. Juan del Carmen Grados Vásquez >> >> Laboratório Nacional de Computação Científica >> >> Tel: +55 21 97633 3228 >> >> (http://www.lncc.br/) >> >> http://juaninf.blogspot.com >> >> --------------------------------------------------------------------- >> >> >> >> -- >> You received this message because you are subscribed to the Google Groups >> "sage-support" group. >> To unsubscribe from this group and stop receiving emails from it, send an >> email to sage-support+unsubscr...@googlegroups.com. >> To view this discussion on the web visit >> https://groups.google.com/d/msgid/sage-support/a5e68912-24fb-b598-1311-04350e2251a6%40gmail.com >> . >> > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. 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