The Benson–Solomon systems comprise an infinite ascending family of simple exotic fusion at the prime 2. results we prove give significant additional evidence that these are only 2-fusion systems, as conjectured by Solomon. We consider a saturated system F having involution centralizer with component C isomorphic to system, and show under rather general hypotheses cannot be simple. Furthermore,...

The thesis develops a new approach to the central themes of algebraic coding theory. The focus here is the newly introduced concept of a partial-inverse polynomial in a quotient ring F [x]/m(x). In particular, the decoding of Reed-Solomon codes can be attributed to the computation of a partial-inverse polynomial. The problem of practical computation of a partial-inverse polynomial is closely re...

Aim To compare metabolic control and complications in people with type 2 diabetes in Nauru and the Solomon Islands before and after a project intervention. Methods This follow-up study compared metabolic control and complications in a cohort of 216 people with diabetes (81 from Nauru and 135 from the Solomon Islands) at baseline and 15 months following a project intervention (upgrading and eq...

Reed-Solomon codes are a class of non-binary cyclic codes which have strong burst and erasure error correction capabilities. Their current uses include deep-space communications, compact disc recordings, cellular communications, and digital broadcast[1]. Their popularity stems in part from the existence of encoding and decoding algorithms that are simple to implement in hardware. In addition to...

To determine the molecular genetic relationship between Melanesian strains of human T-lymphotropic virus type I (HTLV-I) and cosmopolitan prototype HTLV-I, we amplified by PCR, then cloned, and sequenced a 522-base-pair region of the HTLV-I env gene in DNA extracted from uncultured (fresh) and cultured peripheral blood mononuclear cells obtained from six seropositive Melanesian Papua New Guinea...

From: TM Synchronization and Channel Coding is used to protect the transfer frames against telemetry channel noise‐induced errors. Reference [3] describes the CCSDS Recommended Standard for TM Synchronization and Channel Coding, including specification of a convolutional code, a Reed‐ Solomon block‐oriented code, a concatenated coding system consisting of a convolutional inner code and a Reed‐S...