Explicit constructions of graphs without short cycles and low density codes |
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| Authors: | G A Margulis |
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| Institution: | (1) Institute for Problems of Information Transmission, 19 Yermolovoi Str., 103051 Moscow, U.S.S.R. |
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| Abstract: | We give an explicit construction of regular graphs of degree 2r withn vertices and girth ≧c logn/logr. We use Cayley graphs of factor groups of free subgroups of the modular group. An application to low density codes is given. |
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| Keywords: | 05 C 35 94 B 05 05 C 38 05 C 25 20 E 05 30 F 40 |
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