{"product_id":"simplified-decoding-fault-tolerance-in-error-detection-and-correction","title":"Simplified Decoding \u0026 Fault Tolerance in Error Detection and Correction","description":"\u003cp\u003epoly-adic (p-adic) extension of Projective Geometry based LDPC codes for ÔsymbolÕ error detection and correction ,on the lines of designing p-adic extensions of Hamming codes, BCH codes and Golay codes. The  GraeffeÕs ÒliftingÓ method is used  for obtaining p-adic extension of the codes.\u003cbr\u003e\nFor RS codes the alphabet is from the  for p, a positive integer greater than 1. For 2-adic codes, the alphabet needs to be considered over the ring of 2-adic integers modulo . 2-adic codes can be decoded using probabilistic techniques (belief propagation) and therefore perform better than RS codes. RS codes are decoded using algebraic techniques.\u003cbr\u003e\nThe 2-adic extended PG based LDPC code is constructed by using simple linear shift registers and the decoding is done using the simple linear feedback symbol based shift registers. A new decoding architecture is proposed to handle the symbols apart from the bits, thus enhancing the capability of the decoder to detect different duration of burst errors and correct them.\u003c\/p\u003e","brand":"B Venkatesulu","offers":[{"title":"Paperback","offer_id":44310352724129,"sku":"9781329884960","price":34.51,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0462\/1120\/3233\/files\/1r8w2p2j-front-shortedge-384_45794854-a473-4c72-b19d-9d37559288ca.jpg?v=1747966585","url":"https:\/\/bookswholesale.myshopify.com\/products\/simplified-decoding-fault-tolerance-in-error-detection-and-correction","provider":"BooksWholesale","version":"1.0","type":"link"}