public void encode(int[] toEncode, int ecBytes)
        {
            if (ecBytes == 0)
            {
                throw new ArgumentException("No error correction bytes");
            }
            var dataBytes = toEncode.Length - ecBytes;
            if (dataBytes <= 0)
            {
                throw new ArgumentException("No data bytes provided");
            }

            var generator = buildGenerator(ecBytes);
            var infoCoefficients = new int[dataBytes];
            Array.Copy(toEncode, 0, infoCoefficients, 0, dataBytes);

            var info = new GenericGFPoly(field, infoCoefficients);
            info = info.multiplyByMonomial(ecBytes, 1);

            var remainder = info.divide(generator)[1];
            var coefficients = remainder.Coefficients;
            var numZeroCoefficients = ecBytes - coefficients.Length;
            for (var i = 0; i < numZeroCoefficients; i++)
            {
                toEncode[dataBytes + i] = 0;
            }

            Array.Copy(coefficients, 0, toEncode, dataBytes + numZeroCoefficients, coefficients.Length);
        }
        internal GenericGFPoly[] divide(GenericGFPoly other)
        {
            if (!field.Equals(other.field))
            {
                throw new ArgumentException("GenericGFPolys do not have same GenericGF field");
            }
            if (other.isZero)
            {
                throw new ArgumentException("Divide by 0");
            }

            GenericGFPoly quotient = field.Zero;
            GenericGFPoly remainder = this;

            int denominatorLeadingTerm = other.getCoefficient(other.Degree);
            int inverseDenominatorLeadingTerm = field.inverse(denominatorLeadingTerm);

            while (remainder.Degree >= other.Degree && !remainder.isZero)
            {
                int degreeDifference = remainder.Degree - other.Degree;
                int scale = field.multiply(remainder.getCoefficient(remainder.Degree), inverseDenominatorLeadingTerm);
                GenericGFPoly term = other.multiplyByMonomial(degreeDifference, scale);
                GenericGFPoly iterationQuotient = field.buildMonomial(degreeDifference, scale);
                quotient = quotient.addOrSubtract(iterationQuotient);
                remainder = remainder.addOrSubtract(term);
            }

            return new GenericGFPoly[] { quotient, remainder };
        }