A transmitter includes: a data providing component that provides data to be transmitted; a transforming component that generates transformed data based on the data to be transmitted; and a transmitting component that transmits the transformed data. The transforming component includes a modulator, a code generator and a data structure having stored therein a first mathematical function. The first mathematical function includes a primary first function term. The primary first function term includes a first parameter within a predetermined first delineated boundary of parameters. The code generator generates coded data so as to form an error-detecting code from the data to be transmitted. The modulator modulates the coded data with the primary first function term.