A system for implementing variable T BCH encoders includes: a polynomial multiplier for multiplying a message polynomial by a difference polynomial to achieve a first value, wherein the message polynomial comprises data bits as coefficients and the difference polynomial comprises minimal polynomials that are present in a T error correcting code and are absent from a T−ΔT error correcting BCH code; a shifter/zero-padder coupled with the BCH encoder, the shifter/zero-padder for multiplying the first value by xN-{tilde over (K)} to achieve a second value; a BCH encoder coupled with the polynomial multiplier, the BCH encoder for dividing the second value by a generator polynomial of the T error correcting BCH code and calculating a remainder based on the dividing to achieve a third value; and a polynomial divider for dividing the third value by the difference polynomial to achieve a fourth value comprising parity of the T−ΔT error correcting BCH code.