In this Macaulay2 \cite{M2} package we define an object called {\it linear code}. We implement functions that compute basic parameters and objects associated with a code, such as generator parity check matrices, the dual length, dimension, minimum distance, among others. evaluation code}, construction which allows to study codes using tools of algebraic geometry commutative algebra. generate im...

In this paper, it is argued that single function dual process theory is a more credible psychological account of non-monotonicity in human conditional reasoning than recent attempts to apply logic programming (LP) approaches in artificial intelligence to these data. LP is introduced and among other critiques, it is argued that it is psychologically unrealistic in a similar way to hash coding in...

The field of coding theory emerged with the pioneering work of Claude E. Shannon “A Mathematical Theory of Communication”, published in 1948 in the Bell System Technical Journal. In his work, Shannon investigates both the transmission and compression of information. A probabilistic model is proposed for the communication channel or for the source, and a mathematical measure is proposed to quant...

The encoding and representation of visually presented clock times was investigated in three experiments utilizing a comparative judgment task. Experiment 1 explored the effects of comparing times presented in different formats (clock face, digit, or word), and Experiment 2 examined angular distance effects created by varying positions of the hands on clock faces. In Experiment 3, encoding and p...

1 An algebra H(Gm) of double-cosets is constructed for every finite Weilrepresentation Gm. For the Clifford-Weil groups Gm = Cm(ρ) associated to some classical Type ρ of self-dual codes over a finite field, this algebra is shown to be commutative. Then the eigenspace-decomposition ofH(Cm(ρ)) acting on the space of degree N invariants of Cm(ρ) may be obtained from the kernels of powers of the co...