Introduction to coding theory (2nd edition), by J.H. van Lint. Pp.183 DM86. 1992. ISBN 0-387-54894-7 (Springer)

A method and system for storage and retrieval of blockchains with Galois Fields. One or more blocks for a blockchain are securely stored and retrieved with a modified Galois Fields on a cloud or peer-to-peer (P2P) communications network. The modified Galois Field provides at least additional layers for security and privacy for blockchains. The blocks and blockchains are securely stored and retrieved for cryptocurrency transactions including, but not limited to, BITCOIN transactions and other cryptocurrency transactions.

Method and system for storage and retrieval of blockchain blocks using galois fields

A method and system for decoding low density parity check (“LDPC”) codes. An LDPC decoder includes an R select unit, a Q message first-in first-out (“FIFO”) memory, and a cyclic shifter. The R select unit provides an R message by selecting from a plurality of possible R message values. The Q message memory stores a Q message until an R message is generated by a CNU, the Q message and the R message are combined to provide a P message. The cyclic shifter shifts the P message.

Low density parity check decoder for regular LDPC codes

A method executed by a computer includes receiving an image from a client device. A facial recognition technique is executed against an individual face within the image to obtain a recognized face. Privacy rules are applied to the image, where the privacy rules are associated with privacy settings for a user associated with the recognized face. A privacy protected version of the image is distributed, where the privacy protected version of the image has an altered image feature.

Apparatus and method for automated privacy protection in distributed images

A server has a processor and a memory storing instructions executed by the processor to maintain an ephemeral gallery of ephemeral messages. An ephemeral message is posted to the ephemeral gallery. The ephemeral message has an associated message duration parameter and a gallery participation parameter. An ephemeral message is removed from the ephemeral gallery in response to the identification of an expired gallery participation parameter.

Ephemeral Gallery of Ephemeral Messages

The present disclosure includes systems and methods for direct packet communications and store and forward packet communications including packets which have attributes which determine the lifetime of the packet contents and these lifetimes are optionally a function of the recipient. Example methods are given featuring the transmission of packets with limited lifetime, the storing and retransmission of packets to one or more recipients and confirmation of deletion of packet contents. It is also shown that cryptography may be employed to ensure that timed presentation of packet contents to recipients takes place and is authenticated by the sender.

Method and Apparatus for Time Limited Messages in Packet Communications

An algorithm of improving the performance of iterative decoding on perpendicular magnetic recording is presented. This algorithm follows on the authors' previous works on the parallel and serial concatenated turbo codes and low-density parity-check codes. The application of this algorithm with signal-to-noise ratio mismatch technique shows promising results in the presence of media noise. We also show that, compare to the standard iterative decoding algorithm, an improvement of within one order of magnitude can be achieved.

Improved Iterative Decoding for Perpendicular Magnetic Recording

This invention provides improved security and improved throughput of the McEliece public key encryption system and reduces the public key size. Even though the public key is reduced, in some embodiments of the invention the ensemble of cryptograms produced is identical to the ensemble of cryptograms produced by the original system for a given Goppa code, and the same private key. It is possible using this invention that the encrypted message, the cryptogram is a truly random function, not a pseudo random function of the message so that even with the same message and the same public key, a different, unpredictable cryptogram is produced each time. Other embodiments of the invention use a shortened error correcting code allowing the length of the generated cryptogram to match exactly the available transmission or storage media such as is the case of RFID and packet based radio applications.

Public key encryption system using error correcting codes

Methods and systems are described for binding a data transaction to a person's identity using biometrics. The method comprises the generation of data which includes information associated with a transaction, or an encrypted transaction, between a server and a client device associated with a user, generating authentication data providing an irrevocable binding of the information to biometric characteristics of the user, by capturing biometric input by the user of said authentication data or information associated with the transaction, wherein this information is implanted into the captured data. A predetermined minimum number of quorum portions may be generated from a portion of the data generated or processed by the method, wherein at least a predetermined minimum number of received quorum data portions are required to reconstruct the data portion.

Binding a data transaction to a person's identity using biometrics

The present disclosure includes systems and methods for quorum-based data recovery, in which data is recovered provided at least a minimum number of quorum data portions are presented. In exemplary embodiments, a predetermined minimum number of versions of original data is received, and the original data is reconstructed from the received versions, wherein the original data cannot be reconstructed without loss unless a predetermined minimum number of versions is received. In other embodiments, erroneous or corrupted quorum data portions are detected and associated participants presenting said erroneous or corrupted quorum data portions are identified.

Cen Jung Tjhai

Papers

Method and Apparatus for Time Limited Messages in Packet Communications

Improved Iterative Decoding for Perpendicular Magnetic Recording

Public key encryption system using error correcting codes

Binding a data transaction to a person's identity using biometrics

Systems and methods for quorum-based data recovery