Provided are an encoding method and device, a decoding method and device, and a storage medium. The encoding method comprises: encoding an initial to-be-encoded bit sequence with a low density parity check code LDPC having a code rate R.sub.1, to obtain an encoded first bit sequence, where 0≤R.sub.1≤1; linearly combining at least two bit sequence segments in the first bit sequence to obtain a second bit sequence; and cascading the first bit sequence and the second bit sequence to obtain a target bit sequence having a code rate R.sub.2, where 0≤R.sub.2≤R.sub.1≤1.

The multi-digit binary in-memory multiplication devices are disclosed. The multi-digit binary in-memory multiplication devices of the invention can dramatically reduce the operational steps in comparison with the conventional binary multiplier device. In one embodiment with the expense of more hardware, the in-memory multiplication device can achieve one single step operation. Consequently, the multi-digit binary in-memory multiplication device can improve the computation efficiency and save the computation power by eliminating the data transportations between Arithmetic Logic Unit (ALU), registers, and memory units.

In order to provide smaller, faster and less error-prone circuits for sorting possibly metastable inputs, a novel sorting circuit is provided. According to the invention, the circuit is metastability-containing.

An embodiment method for determining a carry digit indicator bit of a first binary datum includes a step for processing of the first binary datum masked by a masking operation, and not including any processing step of the first binary datum.

The multi-digit binary in-memory multiplication devices are disclosed. The multi-digit binary in-memory multiplication devices of the invention can dramatically reduce the operational steps in comparison with the conventional binary multiplier device. In one embodiment with the expense of more hardware, the in-memory multiplication device can achieve one single step operation. Consequently, the multi-digit binary in-memory multiplication device can improve the computation efficiency and save the computation power by eliminating the data transportations between Arithmetic Logic Unit (ALU), registers, and memory units.

The disclosure is directed to a system, device and method for data storage on implantable magnetizable fabric. The system includes implantable magnetizable fabric coupled to a graft segment of a prosthesis for being delivered into a body of a subject. The system includes information written on the implantable magnetizable fabric. The system further includes a magnetic detection device capable of, after the prosthesis is delivered into the body of the subject, detecting the implantable magnetizable fabric and accessing at least a portion of the information.

Provided are an encoding method and device, a decoding method and device, and a storage medium. The encoding method comprises: encoding an initial to-be-encoded bit sequence with a low density parity check code LDPC having a code rate R.sub.1, to obtain an encoded first bit sequence, where 0≤R.sub.1≤1; linearly combining at least two bit sequence segments in the first bit sequence to obtain a second bit sequence; and cascading the first bit sequence and the second bit sequence to obtain a target bit sequence having a code rate R.sub.2, where 0≤R.sub.2≤R.sub.1≤1.

The invention relates to a method for assisting with the navigation of a first vehicle (1) that is stationary in relation to a second vehicle (2) which is mobile within a reference frame, said method involving acquiring (112) movement data on the first vehicle (1) by at least one proprioceptive sensor (6), and estimating a navigation status (X 1) of the first vehicle (1) by an invariant Kalman filter using a navigation status (X 2) of the second vehicle (2) as an observation, the navigation status of the first vehicle (1) comprising variables that represent a rigid transformation (T 1) linking a first location mark associated with the first vehicle (1) to the reference frame, and variables that represent a rigid transformation (T 21) linking a location mark associated with the second vehicle (2) to the first location mark, the invariant Kalman filter using, as an internal composition taw, a law comprising a term-by-term composition of the two rigid transformations.

The invention relates to a method for assisting with the navigation of a fleet of vehicles comprising a main vehicle (1) and a secondary vehicle (2) that is mobile in relation to the main vehicle (1), said method involving the steps of: •receiving relative movement data (Y1, Y2), acquired by at least one sensor (2, 12), between the main vehicle (1) and the secondary vehicle (2); •estimating (100, 200) a navigation status of the fleet of vehicles by an invariant Kalman filter using the received data (Y1, Y2) as observations, the navigation status comprising •first variables representing a first rigid transformation linking a location mark associated with the main vehicle (1) to a reference point, and •second variables representing a second rigid transformation linking a location mark associated with the main vehicle (1) to a location mark associated with the secondary vehicle (2), the invariant Kalman filter using, as an internal composition law, a law comprising a term-by term composition of the first rigid transformation and the second rigid transformation.

An embodiment method for determining a carry digit indicator bit of a first binary datum includes a step for processing of the first binary datum masked by a masking operation, and not including any processing step of the first binary datum.