Results 11 to 20 of about 182,933 (316)
Application of optimal p-ary linear codes to alphabet-optimal locally repairable codes
, 2022 Linear codes have widespread applications in data storage systems. There are two major contributions in this paper. We first propose infinite families of optimal or distance-optimal linear codes over Fp constructed from projective spaces.Moreover, a ...
Luo, Gaojun, Ling, San
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BVPs Codes for Solving Optimal Control Problems
Mathematics, 2021 Optimal control problems arise in many applications and need suitable numerical methods to obtain a solution. The indirect methods are an interesting class of methods based on the Pontryagin’s minimum principle that generates Hamiltonian Boundary Value ...
Francesca Mazzia, Giuseppina Settanni
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On Optimal Nonlinear Systematic Codes [PDF]
IEEE Transactions on Information Theory, 2016 arXiv admin note: substantial text overlap with arXiv:1502 ...
Eleonora Guerrini +2 more
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Polar codes are optimal for lossy source coding [PDF]
2009 IEEE Information Theory Workshop, 2009 We consider lossy source compression of a binary symmetric source using polar codes and the low-complexity successive encoding algorithm. It was recently shown by Arikan that polar codes achieve the capacity of arbitrary symmetric binary-input discrete memoryless channels under a successive decoding strategy.
Satish Babu Korada, Rüdiger L. Urbanke
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Rate adaptive binary erasure quantization with dual fountain codes [PDF]
, 2008 —In this contribution, duals of fountain codes are introduced and their use for lossy source compression is investigated. It is shown both theoretically and experimentally that the source coding dual of the binary erasure channel coding problem, binary ...
Mohamed Ismail +8 more
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Optimal Locally Repairable Codes for Parallel Reading
IEEE Access, 2020 Locally repairable codes (LRCs) have important applications in distributed storage systems. In this paper, we study q-ary [n, k, d] LRCs with (r, t, δ)-information-locality, where each of the i-th (1 ≤ i ≤ k) information symbol is ...
Jie Hao +3 more
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On codes for optimal rebuilding access [PDF]
2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2011 Submitted to Allerton ...
Zhiying Wang 0001 +2 more
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On Parameter Optimization for Staircase Codes [PDF]
Optical Fiber Communication Conference, 2015 We discuss the optimization of staircase code parameters based on density evolution. An extension of the original code construction is proposed, leading to codes with steeper waterfall performance.
Christian Häger +5 more
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