Magma supplies various functions for computing lower and upper bounds for parameters associated with codes.
Return the Elias upper bound of the cardinality of a largest code of length n and minimum distance d over the field K.
Return the Griesmer upper bound of the cardinality of a largest code of length n and minimum distance d over the field K.
Return the Johnson upper bound of the cardinality of a largest binary code of length n and minimum distance d.
Return the LevenshteinBound upper bound of the cardinality of a largest code of length n and minimum distance d over the field K.
Return the Plotkin upper bound of the cardinality of a largest code of length n and minimum distance d over the field K.
Return the Singleton upper bound of the cardinality of a largest code of length n and minimum distance d over the field K.
Return the Gilbert-Varshamov lower bound of the cardinality of a largest code of length n and minimum distance d over the field K.
Return the Van Lint lower bound of the cardinality of a largest code of length n and minimum distance d over the field K.
Return the Elias asymptotic upper bound of the information rate for delta in [0, 1] over the field K.
Return the McEliece-Rodemich-Rumsey-Welch asymptotic upper bound of the binary information rate for delta in [0, 1].
Return the Plotkin asymptotic upper bound of the information rate for delta in [0, 1] over the field K.
Return the Singleton asymptotic upper bound of the information rate for delta in [0, 1] over any finite field.
Return the best known asymptotic lower and upper bound of the information rate for delta in [0, 1] over the field K.
Return the best known lower bound and upper bound for the cardinality of a largest code of length n and minimum distance d over the field K.
Return the best known lower bound and upper bound for the cardinality of a largest linear code of length n and minimum distance d over the field K.
Return the best known lower bound and upper bound to the maximal minimum weight of a linear code of length n and dimension k over the field K.[Next] [Prev] [Right] [Left] [Up] [Index] [Root]