We prove formulas for special values of the Ramanujan tau zeta function. Our formulas show that L(@D,k) is a period in the sense of Kontsevich and Zagier when k>=12. As an illustration, we reduce L(@D,k) to explicit integrals of hypergeometric and ...

This paper presents a model for a software simulation of the algorithm of Soft Input Decryption. Soft Input Decryption is the algorithm which uses L-values (soft output) of a Soft Input Soft Output channel decoder for the correction of secured data ...

In this letter we derive closed-form expressions for the probability density functions (PDFs) of the bits' reliability metrics (L-values) in bit-interleaved coded modulation (BICM) transmission over fully-interleaved fading channels. The expressions are ...

In this paper we develop closed form approximations for the probability density function (PDF) of the reliability metrics (L-values) in bit-interleaved coded modulation (BICM). The expressions are valid for M²-ary quadrature amplitude modulations (M²-...

In this paper the issue of improving the performance of iterative decoders based on sub-optimal calculation of the messages exchanged during iterations (L-values) is addressed. It is well known in the literature that a simple-yet very effective-- way to ...

In this work, the strategy for correction of bits using Soft Input Decryption is analyzed. Soft Input Decryption is used for correction of cryptographic check values, which are very fragile when they are transmitted over noisy channels: only one wrong ...

Feedback is used for improvement of Soft Input Decryption. Soft Input Decryption enables integration of decryption into the decoding process for correction of cryptographic check values. This paper develops an idea of improvement of feedback by usage of ...

This paper develops further the idea of use of Soft Input Decryption. The function of Soft Input Decryption is to integrate decryption into the decoding process. In this paper it is shown how Soft Input Decryption can be enhanced using feedback from the ...

In this work, probability of collision in Soft Input Decryption has been analyzed and calculated. Collisions of cryptographic check values cause wrong verification results. Therefore, it is important to find an analytical form of a probability of ...

In this paper the research based on the idea of use of Soft Input Decryption is further developed. The function of Soft Input Decryption is to integrate decryption into the decoding process. This paper shows how Soft Input Decryption can be enhanced ...

In this work, channel decoding is considered as a promising way for improvement of cryptographic functions. Use of MAC/H-MAC values and digital signatures is analyzed in a context of code concatenation, together with convolutional codes using MAP ...

In this paper we address the issue of probabilistic modelling of the extrinsic L-values, used as reliability metrics in the context of bit interleaved coded modulation with iterative demapping (BICM-ID). Starting with a simple piece-wise linear model of ...

In this work, channel decoding is considered as a promising way for improvement of cryptographic functions. Use of MAC/H-MAC values and digital signatures is analyzed in a context of code concatenation, together with convolutional codes using MAP ...

This paper forms the substance of a course of lectures given at the International Summer School in Computer Programming at Copenhagen in August, 1967. The lectures were originally given from notes and the paper was written after the course was finished. In ...