Row Reduction Applied to Decoding of Rank Metric and Subspace Codes

We show that decoding of $\ell$-Interleaved Gabidulin codes, as well as list-$\ell$ decoding of Mahdavifar--Vardy codes can be performed by row reducing skew polynomial matrices. Inspired by row reduction of \F[x] matrices, we develop a general and flexible approach of transforming matrices over skew polynomial rings into a certain reduced form. We apply this to solve generalised shift register problems over skew polynomial rings which occur in decoding $\ell$-Interleaved Gabidulin codes. We obtain an algorithm with complexity $O(\ell \mu^2)$ where $\mu$ measures the size of the input problem and is proportional to the code length $n$ in the case of decoding. Further, we show how to perform the interpolation step of list-$\ell$-decoding Mahdavifar--Vardy codes in complexity $O(\ell n^2)$, where $n$ is the number of interpolation constraints.Comment: Accepted for Designs, Codes and Cryptograph

Desynchronization: Synthesis of asynchronous circuits from synchronous specifications

Asynchronous implementation techniques, which measure logic delays at run time and activate registers accordingly, are inherently more robust than their synchronous counterparts, which estimate worst-case delays at design time, and constrain the clock cycle accordingly. De-synchronization is a new paradigm to automate the design of asynchronous circuits from synchronous specifications, thus permitting widespread adoption of asynchronicity, without requiring special design skills or tools. In this paper, we first of all study different protocols for de-synchronization and formally prove their correctness, using techniques originally developed for distributed deployment of synchronous language specifications. We also provide a taxonomy of existing protocols for asynchronous latch controllers, covering in particular the four-phase handshake protocols devised in the literature for micro-pipelines. We then propose a new controller which exhibits provably maximal concurrency, and analyze the performance of desynchronized circuits with respect to the original synchronous optimized implementation. We finally prove the feasibility and effectiveness of our approach, by showing its application to a set of real designs, including a complete implementation of the DLX microprocessor architectur

Design for testability of a latch-based design

Abstract. The purpose of this thesis was to decrease the area of digital logic in a power management integrated circuit (PMIC), by replacing selected flip-flops with latches. The thesis consists of a theory part, that provides background theory for the thesis, and a practical part, that presents a latch register design and design for testability (DFT) method for achieving an acceptable level of manufacturing fault coverage for it. The total area was decreased by replacing flip-flops of read-write and one-time programmable registers with latches. One set of negative level active primary latches were shared with all the positive level active latch registers in the same register bank. Clock gating was used to select which latch register the write data was loaded to from the primary latches. The latches were made transparent during the shift operation of partial scan testing. The observability of the latch register clock gating logic was improved by leaving the first bit of each latch register as a flip-flop. The controllability was improved by inserting control points. The latch register design, developed in this thesis, resulted in a total area decrease of 5% and a register bank area decrease of 15% compared to a flip-flop-based reference design. The latch register design manages to maintain the same stuck-at fault coverage as the reference design.Salpaperäisen piirin testattavuuden suunnittelu. Tiivistelmä. Tämän opinnäytetyön tarkoituksena oli pienentää digitaalisen logiikan pinta-alaa integroidussa tehonhallintapiirissä, korvaamalla valitut kiikut salpapiireillä. Opinnäytetyö koostuu teoriaosasta, joka antaa taustatietoa opinnäytetyölle, ja käytännön osuudesta, jossa esitellään salparekisteripiiri ja testattavuussuunnittelun menetelmä, jolla saavutettiin riittävän hyvä virhekattavuus salparekisteripiirille. Kokonaispinta-alaa pienennettiin korvaamalla luku-kirjoitusrekistereiden ja kerran ohjelmoitavien rekistereiden kiikut salpapiireillä. Yhdet negatiivisella tasolla aktiiviset isäntä-salpapiirit jaettiin kaikkien samassa rekisteripankissa olevien positiivisella tasolla aktiivisten salparekistereiden kanssa. Kellon portittamisella valittiin mihin salparekisteriin kirjoitusdata ladattiin yhteisistä isäntä-salpapireistä. Osittaisessa testipolkuihin perustuvassa testauksessa salpapiirit tehtiin läpinäkyviksi siirtooperaation aikana. Salparekisterin kellon portituslogiikan havaittavuutta parannettiin jättämällä jokaisen salparekisterin ensimmäinen bitti kiikuksi. Ohjattavuutta parannettiin lisäämällä ohjauspisteitä. Salparekisteripiiri, joka suunniteltiin tässä diplomityössä, pienensi kokonaispinta-alaa 5 % ja rekisteripankin pinta-alaa 15 % verrattuna kiikkuperäiseen vertailupiiriin. Salparekisteripiiri onnistuu pitämään saman juuttumisvikamallin virhekattavuuden kuin vertailupiiri

Overview of Hydra: a concurrent language for synchronous digital circuit design

Hydra is a computer hardware description language that integrates several kinds of software tool (simulation, netlist generation and timing analysis) within a single circuit specification. The design language is inherently concurrent, and it offers black box abstraction and general design patterns that simplify the design of circuits with regular structure. Hydra specifications are concise, allowing the complete design of a computer system as a digital circuit within a few pages. This paper discusses the motivations behind Hydra, and illustrates the system with a significant portion of the design of a basic RISC processor

Delay Measurements and Self Characterisation on FPGAs

This thesis examines new timing measurement methods for self delay characterisation of Field-Programmable Gate Arrays (FPGAs) components and delay measurement of complex circuits on FPGAs. Two novel measurement techniques based on analysis of a circuit's output failure rate and transition probability is proposed for accurate, precise and efficient measurement of propagation delays. The transition probability based method is especially attractive, since it requires no modifications in the circuit-under-test and requires little hardware resources, making it an ideal method for physical delay analysis of FPGA circuits. The relentless advancements in process technology has led to smaller and denser transistors in integrated circuits. While FPGA users benefit from this in terms of increased hardware resources for more complex designs, the actual productivity with FPGA in terms of timing performance (operating frequency, latency and throughput) has lagged behind the potential improvements from the improved technology due to delay variability in FPGA components and the inaccuracy of timing models used in FPGA timing analysis. The ability to measure delay of any arbitrary circuit on FPGA offers many opportunities for on-chip characterisation and physical timing analysis, allowing delay variability to be accurately tracked and variation-aware optimisations to be developed, reducing the productivity gap observed in today's FPGA designs. The measurement techniques are developed into complete self measurement and characterisation platforms in this thesis, demonstrating their practical uses in actual FPGA hardware for cross-chip delay characterisation and accurate delay measurement of both complex combinatorial and sequential circuits, further reinforcing their positions in solving the delay variability problem in FPGAs

Physical design of USB1.1

In earlier days, interfacing peripheral devices to host computer has a big problematic. There existed so many different kinds’ ports like serial port, parallel port, PS/2 etc. And their use restricts many situations, Such as no hot-pluggability and involuntary configuration. There are very less number of methods to connect the peripheral devices to host computer. The main reason that Universal Serial Bus was implemented to provide an additional benefits compared to earlier interfacing ports. USB is designed to allow many peripheral be connecting using single standardize interface. It provides an expandable fast, cost effective, hot-pluggable plug and play serial hardware interface that makes life of computer user easier allowing them to plug different devices to into USB port and have them configured automatically. In this thesis demonstrated the USB v1.1 architecture part in briefly and generated gate level net list form RTL code by applying the different constraints like timing, area and power. By applying the various types design constraints so that the performance was improved by 30%. And then it implemented in physically by using SoC encounter EDI system, estimation of chip size, power analysis and routing the clock signal to all flip-flops presented in the design. To reduce the clock switching power implemented register clustering algorithm (DBSCAN). In this design implementation TSMC 180nm technology library is used