Many of the backdoors are written into the constants and constructions of the algorithms themselves in undiscoverable ways. Constants that embed groups inside o

Many of the backdoors are written into the constants and constructions of the algorithms themselves in undiscoverable ways. Constants that embed groups inside of weaker groups, multivariate systems that under certain transformations leak keying material, asymmetric transformations for which the standards body creators hold private keys, etc. Legal compulsion of companies to keep plaintext is just one backdoor pursued.