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Distinguishable codeword sets for shared memory

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1 Author(s)

In data processing, a transmitterTandreceiverRcommunicate via a random-access memorymthat they share with a setUof other users.Tselects a codewordcfrom a setCknown toRand storescin some of the cells ofm, not necessarily adjacent to one another.Udoes not change the valuesThas stored but fills in the values stored in the other cells ofm.Cis said to be distinguishable ifRcan always find which codewordTstored inmno matter whatUstores in the other cells and to be locally distinguishable ifRcan do so reading only the values written byTnot byU. Necessary and sufficient conditions for distinguishability and local distinguishability are given. Generalizations of the Kraft inequality to this setting follow and give lower bounds to the numbers of cells occupied by the members of a distinguishable set of codewords and to the numbers of cells inmthatRmust access to distinguish among them. Upper bounds to numbers of necessary accesses are also given.

Published in:

Information Theory, IEEE Transactions on  (Volume:21 ,  Issue: 4 )

Date of Publication:

Jul 1975

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