• Janet

  • Referenced in 37 articles [sw07776]
  • Maple package Janet implements the involutive basis technique of V. P. Gerdt ... term” orderings in the polynomial case. Four involutive criteria are implemented to avoid unnecessary reductions ... during involutive basis computations...
  • Piccolo

  • Referenced in 52 articles [sw13242]
  • support the decryption function due to its involution structure. Furthermore, its efficiency on the energy...
  • ICEBERG

  • Referenced in 22 articles [sw13243]
  • ICEBERG: An involutional cipher efficient for block encryption in reconfigurable hardware. We present a fast ... involutional block cipher optimized for reconfigurable hardware implementations. ICEBERG uses 64-bit text blocks ... keys. All components are involutional and allow very efficient combinations of encryption/decryption. Hardware implementations...
  • Cartan

  • Referenced in 17 articles [sw06577]
  • possible), compute Cartan characters and test for involutivity, and compute prolongations...
  • Ginv

  • Referenced in 8 articles [sw00350]
  • GINV. The computer algebra system GINV (Gröbner INVolutive) is presented. It is designed for studying ... polynomial type by their completion to involution. The system is based on algorithms for constructing ... involutive Janet and Janet-like bases for polynomial ideals and modules, as well as reduced...
  • PyCox

  • Referenced in 12 articles [sw09237]
  • leading coefficients of character values and distinguished involutions (which works for E 8 as well...
  • Virtual Permutations

  • Referenced in 5 articles [sw40990]
  • Affine transitions for involution Stanley symmetric functions. We study a family of symmetric functions ... indexed by involutions z in the affine symmetric group. These power series are analogues ... Stanley symmetric functions and generalizations of the involution Stanley symmetric functions introduced by Hamaker, Pawlowski ... used to define an affine involution analogue of the Lascoux-Schützenberger tree. Our proof...
  • Rif

  • Referenced in 8 articles [sw12338]
  • these systems to a canonical form (reduced involutive form), graphical display of results for ease...
  • JanetOre

  • Referenced in 5 articles [sw09587]
  • Algebras. he Maple package JanetOre implements the involutive basis technique of V. P. Gerdt ... interface to a C++ implementation of the involutive basis technique over some classes...
  • bs3np

  • Referenced in 7 articles [sw25701]
  • partitions naturally arises as an analogue for involutions. In obtaining the analogous result...
  • TDDS

  • Referenced in 7 articles [sw31513]
  • simple subsystems whose subsets of equations are involutive. Usually the decomposed system is substantially easier...
  • EDS

  • Referenced in 6 articles [sw00230]
  • exterior differential systems theory, including prolongation and involution analysis, and has been optimized for large...
  • RCWA

  • Referenced in 6 articles [sw00786]
  • countable simple group which is generated by involutions interchanging disjoint residue classes...
  • LUCY

  • Referenced in 5 articles [sw14999]
  • their duals with respect to several involutions, spinor inner products, an easy transition between abstract...
  • GeometricAlgebra

  • Referenced in 5 articles [sw25725]
  • Idempotents with different base element sorting; Main involutions and general multivector inverse...
  • BIBasis

  • Referenced in 3 articles [sw06549]
  • Macaulay2 computer algebra systems to compute Boolean involutive and Gröbner bases. In this paper ... systems, which allows one to compute Boolean involutive bases and Gröbner bases. The implementations...
  • JanetBasis

  • Referenced in 2 articles [sw08684]
  • Janet division, Pommaret division, the judgment of involutive divisor and reducible, the judgment of conventional ... divisor and reducible, involutive normal form and conventional normal form, involutive autoreduction and conventional autoreduction...
  • MinimalInvolutiveMonomialBasis

  • Referenced in 1 article [sw27979]
  • Construction of involutive monomial sets for different involutive divisions. We consider computation and implementation issues ... completion of monomial sets to involution using different involutive divisions. Each of these divisions produces ... polynomial case it yields an involutive basis which is a special form of the Gröbner...
  • ICS

  • Referenced in 1 article [sw09220]
  • package for computing involutive characteristic set of algebraic partial differential equation systems. A constructive algorithm ... arbitrary algebraic partial differential equation systems to involutive ones is presented. Based ... implementation ICS for computing the involutive characteristic set (ICS) of an algebraic partial differential equation ... show a hint for computing the involutive characteristic set of arbitrary algebraic partial differential equation...
  • InvolutiveBases

  • Referenced in 1 article [sw13599]
  • Janet basis is a Pommaret basis. Involutive reduction modulo a Janet basis can be performed ... optional argument for resolution, see Involutive...