can detect burst error of length less than or equal to degree of thepolynomial and detects burst errors that affect odd number of bits.

The description you provided pertains to the use of Cyclic Redundancy Check (CRC) codes in error detection. CRC is a popular method used in digital networks and storage devices to detect accidental changes to raw data. It works by appending a sequence of redundant bits, derived from the binary division of the data bits by a pre-defined polynomial, to the end of the data unit. The properties of the CRC and its error-detection capabilities are influenced by the choice of the polynomial.

1. Burst Error Detection Capability: A CRC can detect burst errors of length less than or equal to the degree of the polynomial used. A burst error is a sequence of bits that were altered from their original state due to noise in the transmission channel, with the length of the burst defining how many bits in sequence were affected. For instance, if a polynomial of degree (n) is used, the CRC can detect burst errors of up to (n) bits in length.

2. Detection of Burst Errors Affecting an Odd Number of Bits: CRC is especially efficient in detecting errors that affect an odd number of bits, including all single-bit errors (which are a special case of odd-bit errors). This is due to the mathematical properties of the polynomial division used in calculating the CRC. When a burst affects an odd number of bits, the resulting error pattern, when divided by the polynomial, cannot evenly divide, thus allowing the CRC check to detect the error.

In summary, the ability of CRC