An Upper Bound on the Minimum Distance of LDPC Codes over GF(q)

In [1] a syndrome counting based upper bound on the minimum distance of regular binary LDPC codes is given. In this paper we extend the bound to the case of irregular and generalized LDPC codes over GF(q). The comparison to the lower bound for LDPC codes over GF(q) and to the upper bound for non-binary codes is done. The new bound is shown to lie under the Gilbert-Varshamov bound at high rates.Comment: 4 pages, submitted to ISIT 201

On the Multiple Threshold Decoding of LDPC codes over GF(q)

We consider the decoding of LDPC codes over GF(q) with the low-complexity majority algorithm from [1]. A modification of this algorithm with multiple thresholds is suggested. A lower estimate on the decoding radius realized by the new algorithm is derived. The estimate is shown to be better than the estimate for a single threshold majority decoder. At the same time the transition to multiple thresholds does not affect the order of complexity.Comment: 5 pages, submitted to ISIT 201

On a Multiple-Access in a Vector Disjunctive Channel

We address the problem of increasing the sum rate in a multiple-access system from [1] for small number of users. We suggest an improved signal-code construction in which in case of a small number of users we give more resources to them. For the resulting multiple-access system a lower bound on the relative sum rate is derived. It is shown to be very close to the maximal value of relative sum rate in [1] even for small number of users. The bound is obtained for the case of decoding by exhaustive search. We also suggest reduced-complexity decoding and compare the maximal number of users in this case and in case of decoding by exhaustive search.Comment: 5 pages, 4 figures, submitted to IEEE ISIT 201

Augmented Reality and its Integration into our Lives

Augmented reality is a technology that allows for virtual objects to be placed in the real world in real-time, enhancing our information about the world around us. Augmented reality glasses are worn in the same way as virtual reality glasses so that they enable the wearer to interact with these images as part of the overall experience