  We present a new approach to constructing of pseudo-random binary sequences
(PRS) generators for the purpose of cryptographic data protection, secured from
the perpetrator's attacks, caused by generation of masses of hardware errors
and faults. The new method is based on use of linear polynomial arithmetic for
the realization of systems of boolean characteristic functions of PRS'
generators. "Arithmetizatio" of systems of logic formulas has allowed to apply
mathematical apparatus of residue systems for multisequencing of the process of
PRS generation and organizing control of computing errors, caused by hardware
faults. This has guaranteed high security of PRS generator's functioning and,
consequently, security of tools for cryptographic data protection based on
those PRSs.
