A ternary [66, 10, 36](3)-code admitting the Mathieu group M-12 as a group of automorphisms has recently been constructed by N. pace, see pace (2014). We give a construction of the pace code in terms of M-12 as well a...
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A ternary [66, 10, 36](3)-code admitting the Mathieu group M-12 as a group of automorphisms has recently been constructed by N. pace, see pace (2014). We give a construction of the pace code in terms of M-12 as well as a combinatorial description in terms of the small Witt design, the Steiner system S(5, 6, 12). We also present a proof that the pace code does indeed have minimum distance 36. (C) 2017 Elsevier B.V. All rights reserved.
pace code, a new technique for the shape coding in object-based image technology is presented in this article. It is a lossless, contour-based scheme in which contour pels on the shape contour curve are encoded direct...
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ISBN:
(纸本)9539676924
pace code, a new technique for the shape coding in object-based image technology is presented in this article. It is a lossless, contour-based scheme in which contour pels on the shape contour curve are encoded directly. Similar to the well-known chain code, our method encodes the spatial relation between pels on the neighboring shape contour curve, but it uses a concept called pace which records the relationship differently. Experiment result shows that the proposed algorithm has the best coding efficiency among most contour-based schemes and requires low coding computation.
A ternary [66, 10, 36]3-code admitting the Mathieu group M12 as a group of automorphisms has recently been constructed by N. pace, see [N. pace: New ternary linear codes from projectivity groups, Discrete Mathematics ...
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