Embodiments are directed to collision-free hashing for accessing cryptographic computing metadata and for cache expansion. An embodiment of an apparatus includes one or more processors to compute a plurality of hash functions that combine additions, bit-level reordering, bit-linear mixing, and wide substitutions, wherein each of the plurality of hash functions differs in one of the additions, the bit-level reordering, the wide substitutions, or the bit-linear mixing; and access a hash table utilizing results of the plurality of hash functions.

The present disclosure relates 10 encoding methods, communication methods and apparatus. In one example method, a first information sequence is encoded by using a first matrix to obtain a second information sequence, where the first matrix meets a function related to a lifting factor and an element in E.sub.max(H). The second information sequence is outputted.

A transmission apparatus includes a signal processing circuit configured to obtain information data bits to be transmitted; add known information data bits to the information data bits to generate first data blocks; perform error-correction coding on the first data blocks to generate first coded data blocks including parity data blocks such that the first coded data blocks satisfy a first code rate; remove the known information data bits from the first coded data blocks to generate second coded data blocks, the second coded data blocks satisfying a second code rate different from the first code rate; and modulate the second coded data blocks using a modulation scheme to generate a modulated signal, which is then transmitted. A number of the known information data bits depends on a number of the information data bits such that the first code rate is fixed regardless of the number of the information data bits.

A data processing method and apparatus. The data process method includes: determining, by a transmitting node, a code block length N.sub.0 for encoding an information bit sequence to be transmitted according to a data characteristic for representing the information bit sequence to be transmitted and a preset parameter corresponding to the data characteristic; performing, by the transmitting node, polar encoding on the information bit sequence to be transmitted according to the code block length N.sub.0; and transmitting, by the transmitting node, a code block obtained through the polar encoding to a receiving node.

An encoder and decoder using LDPC-CC which avoid lowering the transmission efficiency of information while not deteriorating error correction performance, even at termination; and an encoding method of the same. A termination sequence length determining unit determines the sequence length of a termination sequence transmitted added to the end of an information sequence, according to the information length (information size) and encoding rate of the information sequence. A parity calculation unit carries out LDPC-CC coding on the information sequence and the known-information sequence necessary for generating a termination sequence of the determined termination sequence length, and calculates a parity sequence.

A pre-5th-generation (pre-5G) or 5G communication system for supporting higher data rates beyond a 4th-generation (4G) communication system, such as long term evolution (LTE) is provided. A channel encoding method in a communication or broadcasting system includes identifying an input bit size, determining a block size (Z), determining a low density parity check (LDPC) sequence to perform LDPC encoding, and performing the LDPC encoding based on the LDPC sequence and the block size.

Methods and apparatus for code-based asymmetric cryptosystem using Quasi-Cyclic Moderate-Density Parity-Check (QC-MDPC) error correcting codes. Specifically, the method and apparatus generalizes the framework of (QC-MDPC) Code-Based (CB) cryptography from the binary domain (Galois Field of two elements) to an arbitrary size of Galois Field and provides an apparatus for implementing the cryptosystem with a simplified computational complexity of key generation, encryption, and decryption components of the cryptosystems and reduced sizes of the public and private security keys.

An apparatus and method are described. The apparatus includes a transceiver and processor, which attach transport block (TB) level CRC bits to a TB, select an LDPC base graph (BG) based on a code rate (CR) and TB size of the TB including TB level CRC bits, determine a number of code blocks (CBs) to use for segmenting the TB including TB level CRC bits depending on the selected LDPC BG, determine a single CB size for each of the CBs based on the number of CBs, segment the TB including TB level CRC bits into the CBs based on the number of CBs and CB size, pad zeros to a last CB of the CBs in the segmented TB, attach CB level CRC bits to each CB in the segmented TB, encode each CB in the segmented TB using the selected LDPC base graph, and transmit the encoded CBs.

The present disclosure relates to a pre-5th-Generation (5G) or 5G communication system to be provided for supporting higher data rates Beyond 4th-Generation (4G) communication system such as Long Term Evolution (LTE). An apparatus and a method for channel encoding and decoding in a communication or broadcasting system is provided. According to the present disclosure, the method for channel encoding in a communication or broadcasting system includes determining a block size Z, and performing encoding based on the block size and a parity check matrix corresponding to the block size, in which the block size is included in any one of the plurality of block size groups and the parity check matrix is different for each block size group.

Methods and devices are disclosed for encoding source words and decoding codewords with LDPC matrices, comprising: receiving a 1×K source word row vector ū; and generating a 1×N codeword vector c=ū.Math.G, wherein G is a K×N generator matrix derived from a parity check matrix H.sub.l; and wherein H.sub.l is derived from a base parity check matrix H by summing different rows in the base parity check matrix H to obtain an intermediate parity check matrix, and applying a lifting matrix to the intermediate base parity check matrix to obtain H.sub.l.