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In coding theory, burst error-correcting codes employ methods of correcting burst errors, which are errors that occur in many consecutive bits rather than occurring in bits independently of each other.
Low-density parity-check (LDPC) codes are a class of highly efficient linear block codes made from many single parity check (SPC) codes. They can provide performance very close to the channel capacity (the theoretical maximum) using an iterated soft-decision decoding approach, at linear time complexity in terms of their block length.
Cyclic codes are not only simple to implement but have the benefit of being particularly well suited for the detection of burst errors: contiguous sequences of erroneous data symbols in messages. This is important because burst errors are common transmission errors in many communication channels, including magnetic and optical storage devices.
It is based on a Markov chain with two states G (for good or gap) and B (for bad or burst). In state G the probability of transmitting a bit correctly is k and in state B it is h . Usually, [ 4 ] it is assumed that k = 1.
[1] [6] [9] They also include brief discussions of additional material not covered in more detail later, including information theory, convolutional codes, and burst error-correcting codes. [6] Chapter 3 presents the BCH code over the field (), and Chapter 4 develops the theory of finite fields more generally. [1] [6]
In case the burst correction capability is exceeded, interpolation may provide concealment by approximation Simple decoder strategy possible with reasonably-sized external random access memory Very high efficiency
Verified for iOS 9.3 and later. 1. Double press the Home button or swipe up and hold. 2. Swipe up on the image of the app. 3. Re-launch the app and attempt to reproduce the issue.
Error-correcting codes are used in lower-layer communication such as cellular network, high-speed fiber-optic communication and Wi-Fi, [11] [12] as well as for reliable storage in media such as flash memory, hard disk and RAM. [13] Error-correcting codes are usually distinguished between convolutional codes and block codes: