# Cyclic Redundancy Checks

Cyclic Redundancy Check (CRC) channel coding schemes introduce redundancy in order to detect the occurrence of errors within a block of coded bits after reception. CRC codings usually only detect errors, they do not correct them.

class CyclicRedundancyCheck(bit_block_size, check_block_size)

Cyclic Redundancy Check Mock.

This channel coding step mocks CRC algorithms by appending a random checksum of $$Q$$ check_block_size() bits to data bit blocks of size $$K_n$$ bit_block_size(). The achieved coding rate is therefore

$R_{n} = \frac{K_n}{K_n + Q} \mathrm{.}$
Parameters
• bit_block_size (int) – Number of bits per encoded block.

• check_block_size (int) – Number of bits appended to bit blocks.

yaml_tag: Optional[str] = 'CRC'

YAML serialization tag.

encode(data)

Encodes a single block of bits.

Bit encoding routine during data transmission, encoding a block of $$K_n$$ input bits into a block of $$L_n$$ code bits.

Parameters

bits (np.ndarray) – A numpy vector of $$K_n$$ bits, representing a single bit block to be encoded.

Returns

A numpy vector of $$L_n$$ bits, representing a single code block.

Return type

np.ndarray

Raises

ValueError – If the length of bits does not equal bit_block_size().

decode(code)

Decodes a single block of bits.

Bit decoding routine during data reception, decoding a block of $$L_n$$ code bits into a block of $$K_n$$ data bits.

Parameters

encoded_bits (np.ndarray) – A numpy vector of $$L_n$$ code bits, representing a single code block to be decoded.

Returns

A numpy vector of $$K_n$$ bits, representing a single data block.

Return type

np.ndarray

Raises

ValueError – If the length of encoded_bits does not equal code_block_size().

property bit_block_size: int

Data bit block size of a single coding operation.

In other words, the number of input bits within a single code block during transmit encoding, or the number of output bits during receive decoding. Referred to as $$K_n$$ within the respective equations.

Returns

Number of bits $$K_n$$.

Return type

int

property check_block_size: int

Number of appended check bits per bit block.

Returns

Number of check bits $$Q$$.

Return type

int

Raises

ValueError – If check_block_size is smaller than zero.

property code_block_size: int

Code bit block size of a single coding operation.

In other words, the number of input bits within a single code block during receive decoding, or the number of output bits during transmit encoding. Referred to as $$L_n$$ within the respective equations.

Returns

Number of bits $$L_n$$.

Return type

int