A method that employs a piecewise linear algorithm, P, to map m-dimensional symbols into code tuples, followed by the construction of codes of weight m from the code tuples. To reverse the operation, constant weight codes are converted to code tuples, and a reverse piecewise linear algorithm P′ is used to map the code tuples into symbols, from which data is recovered. The m-dimensional symbols are obtained from mapping of input data into the symbols, which are contained within an m-dimensional parallelopiped, with each coordinate having a different span but the symbols along each of the coordinate are equally spaced apart. The code tuples, which are obtained by employing process P, are contained within an m-dimensional simplex.