Construction method for local unequal codes
A construction method and a local technology, applied in the field of data encoding and storage, can solve the problem that the minimum distance of a few local repair codes reaches the upper bound, etc.
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[0056] In order to make the purpose of the present invention, technical solutions and advantages clearer, at first some definitions and parameters involved in the method of the present invention are explained as follows:
[0057] f q : Indicates the q-element field.
[0058] F means field, q m Represents the m-fold expansion of the q-ary, where the highest degree of polynomials in the domain is k-1.
[0059] Locality: Assuming a code of length n contains k information symbols, a certain symbol i can pass through other r in the code i symbols are recovered, then the locality of i is r i . If the locality of each information symbol among the k information symbols contained in a code is at most r, then the locality of this code is r.
[0060] Inequality codes with information symbol locality: For a systematic code n represents the code length, k represents the information symbol length, and d represents the minimum distance. If the information symbols can be divided int...
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