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Past few years have seen an extensive use of RAM chips with wide I/O data(e.g. 16, 32, 64 bits) in computer memory systems. These chips are highlyvulnerable to a special type of byte error, called an $m$-spotty byte error,which can be effectively detected or corrected using byte error-control codes.The MacWilliams identity provides the relationship between the weightdistribution of a code and that of its dual. This paper introduces $m$-spottyHamming weight enumerator, joint $m$-spotty Hamming weight enumerator and split$m$-spotty Hamming weight enumerator for byte error-control codes over finitecommutative Frobenius rings as well as $m$-spotty Lee weight enumerator over aninfinite family of rings. In addition, MacWilliams type identities are alsoderived for these enumerators.

MacWilliams type identities for some new $m$-spotty weight enumerators over finite commutative Frobenius rings