Abstract: Communication systems and methods are disclosed that utilize Probability Amplitude Shaping (PAS) and Trellis Coded Modulation (TCM) to transmit short block-length messages. While capacity-approaching codes, such as Low Density Parity Check (LDPC) codes, Turbo codes, and Polar codes, can achieve data rates approaching the Shannon limit at large block-lengths, the performance of these codes can deteriorate dramatically at short block-lengths. Communication systems configured in accordance with various embodiments of the invention can utilize classical codes to encode short block-length messages to achieve communication rates exceeding Polyanskiy's Random Coding Union bound. In several embodiments, message bits are transmitted using a TCM system in which message bits that have been previously encoded by an error detection code are encoded using a convolutional code (CC). In a number of embodiments, the error detection code and the CC are obtained via a joint optimization with respect to a Frame Error Rate bound.

Abstract: Disclosed is a method for the treatment of a subject having an HIV infection or inhibiting neddylation using a neddylation inhibiting enzyme, neural-precursor-cell-expressed developmentally down-regulated 8 (NEDD8)-activating enzyme E1 (NAE1).

Abstract: Disclosed herein are methods and systems to generate and communicate interactive digital proofs of transaction. In one implementation, the method may include receiving an indication of a payment transaction between a merchant and a user and processing payment for the payment transaction. The payment processing system generates one or more interactive digital proofs of transaction including at least details of the payment transaction and availability of a vacancy or resource at the payee location. The user may respond via the interactive receipt.

Abstract: Disclosed herein are methods and systems to generate and communicate interactive digital receipts. In one implementation, the method may include receiving an indication of a payment transaction between a merchant and a user. Via a customer identification system, an employment profile of the user; may be determined. The employment profile of the user may be compared with one or more employment vacancies within an employment database, where the employment vacancies relate to employment at one of a location of the merchant and another merchant's location. A particular employment vacancy from among the employment vacancies may be selected. The payment processing system generates one or more interactive receipts including at least a transaction component configured to display details of the payment transaction and an employment application component configured to display the particular employment vacancy.

Abstract: Disclosed herein are methods and systems to generate and communicate interactive digital receipts. In one implementation, the method may include receiving an indication of a payment transaction between a merchant and a user. Via a customer identification system, an employment profile of the user; may be determined. The employment profile of the user may be compared with one or more employment vacancies within an employment database, where the employment vacancies relate to employment at one of a location of the merchant and another merchant's location. A particular employment vacancy from among the employment vacancies may be selected. The payment processing system generates one or more interactive receipts including at least a transaction component configured to display details of the payment transaction and an employment application component configured to display the particular employment vacancy.