A three terminal relay system with binary erasure channel (BEC) was considered, in which a source forwarded information to a destination with a relay’s ”assistance”. The nested LDGM (Low-density generator-matrix) -LDPC (lowdensity parity-check) was designed to realize Compress-andforward (CF) at the relay. LDGM coding compressed the received signals losslessly and LDPC realized the binning for ...

The performance and design of a deterministic interleaver for short frame turbo codes is considered in this paper. The main characteristic of this class of deterministic interleaver is that their algebraic design selects the best permutation generator such that the points in smaller subsets of the interleaved output are uniformly spread over the entire range of the information data frame. It is...

We construct a randomness-efficient averaging sampler that is computable by uniform constantdepth circuits with parity gates (i.e., in uniform AC0[⊕]). Our sampler matches the parameters achieved by random walks on constant-degree expander graphs, allowing us to apply a variety expander-based techniques within NC. For example, we obtain the following results: • Randomness-efficient error-reduct...

c0 + c1x+ c2x 2 + · · ·+ cn−1x n−1 ∈ GF(q)[x]/(x − 1), any code C of length n over GF(q) corresponds to a subset of the quotient ring GF(q)[x]/(xn− 1). A linear code C is cyclic if and only if the corresponding subset in GF(q)[x]/(xn − 1) is an ideal of the ring GF(q)[x]/(xn − 1). It is well known that every ideal of GF(q)[x]/(xn−1) is principal. Let C = 〈g(x)〉 be a cyclic code, where g(x) is m...

A product code with single parity-check component codes can be described via the tools of a multi-kernel polar code, where rows generator matrix are chosen according to constraints imposed by construction. Following this observation, successive cancellation decoding such is introduced. In particular, error probability over binary memoryless symmetric channels under characterized. bridge analysi...

In this research, a new technetium-99m generator has been developed with addition of Cerium oxide to alumina column.  The adsorption behaviors of 99Mo in the form of molybdate and 99mTc in the form of pertechnetate on CeO2/Al2O3 was investigated and showed that the adsorption capacity of molybdate on this generator is higher than usual generator using Al2O3. Ceric ions were selected as an addit...