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Linear codes with covering radius 2 and other new covering codes

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3 Author(s)
Gabidulin, E.M. ; Moscow Inst. of Phys. & Technol. ; Davydov, A.A. ; Tombak, L.M.

Infinite families of linear binary codes with covering radius R=2 and minimum distance d=3 and d=4 are given. Using the constructed codes with d=3, R=2, families of covering codes with R>2 are obtained. The parameters of many constructed codes with R⩽2 are better than the parameters of known codes. The parity check matrices of constructed codes with d=4, R=2 are equivalent to complete caps in projective geometry

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Information Theory, IEEE Transactions on  (Volume:37 ,  Issue: 1 )