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This paper presents analysis and design of bitplane parallel architecture for embedded block coding with optimization truncation (EBCOT) tier-1 in JPEG2000. By detailed analysis of bitplane parallel context modeling, we discover the reason that causes the degradation of the parallel entropy coding performance. Two improved methods, referred to as data-pairs ordering (DPO) and flexible MQ (FMQ) coder are proposed. The coding speed can be improved greatly by using the improved bitplane parallel coding methods. Compared with the conventional bitplane parallel architecture, our architecture can decrease about 24% of the computation time.