A Direct Construction of q-Ary 2-D Z-Complementary Array Pair Based on Generalized Boolean Functions
Two dimensional (2-D) Z-complementary array pair (ZCAP) is a pair of 2-D arrays or matrices, whose 2-D auto-correlation sum gives zero value at all time shifts in a zone around the (0, 0) time shift, except the (0, 0) time shift. The zone is called the zero correlation zone (ZCZ). 2-D ZCAP has found application in 2-D synchronization, phased array antenna,
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Optimal Codes for the q-ary Deletion Channel-IEEE Xplore
The problem of constructing optimal multiple deletion correcting codes has long been open until recent break-through for binary cases. Yet comparatively less progress was made in the non-binary counterpart, with the only rate one non-binary deletion codes being Tenengolts' construction that corrects single deletion. In this paper, we present several q-ary t
· শিল্পী ইকবাল হুসাইন জীবনের অফিসিয়াল সোশ্যাল মিডিয়ার লিংক নিচে দেয়া
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Q -Ary Non-Overlapping Codes: A Generating Function Approach
Non-overlapping codes are a set of codewords in $\bigcup _{n \ge 2} \mathbb {Z}_{q}^{n}$ , where $\mathbb {Z}_{q} = \{0,1, {\dots },q-1\}$ , such that the p
youtube.comSurah Al Rahman Qari Abdul Basit-YouTube · Listen to the soothing and melodious recitation of Surah Al Rahman by Qari Abdul Basit, one of the most renowned and respected Quran reciters in the world. Learn the meaning and
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· To analyze Q -ary DAC for uniform Q -ary sources, following the methodology developed in our prior work for binary DAC, we define and deduce Coset Cardinality Spectrum (CCS) from both fixed-length
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· We study polarization for nonbinary channels with input alphabet of size q =2 r , r =2,3,. Using Arıkan's polarizing kernel H 2 , we prove that the virtual c Abstract: We study polarization for nonbinary channels with input alphabet of size q
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· In this letter, we propose a novel orthogonal frequency division multiplexing with index modulation (OFDM-IM) scheme, which we call Q -ary multi-mode OFDM-IM (Q -MM-OFDM-IM). In the proposed scheme, Q disjoint M-ary constellations are used repeatedly on each subcarrier, and a maximum-distance separable code is applied to the indices of
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: Qari Abdul Basit Official Channel · Abdul Basit 'Abd us-SamadThe Qari had won three world Qira'at competitions in the early 1970s. ‘Abdus-Samad was one of the first huffaz to make commercial re
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Abdul Basit is born in a small village called Armant in Egypt in 1927, Qari Abdul-Basit ‘Abdus-Samad, or simply known as Abdul Basit was a renowned Qari. He was
On the Measurement and Simulation of the BKZ Behavior for q-ary
The sec-ond order statistical behavior of BKZ algorithm on random lattices has been well measured in the work of Yu and Ducas. Several simulators have been proposed to efficiently and accurately predict the profile shape for random lattices. But for the case q-ary lattices, the situation is much less understood.
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· We give a new construction for q -ary codes by the following two steps, and then a sufficient and necessary condition for these codes to be constant weight is presented. Step 1. Firstly, for any given non-empty finite sets T, D and S, let Φ be a map from D × T to S, Φ: D × T → S. Secondly, for any t ∈ T, denote Im t Φ = { Φ ( d, t
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· In this paper (Sect. 6) we generalize some methods in order to construct binary plateaued functions for q -ary plateaued functions. The Hamming distance d ( f , g) between two discrete functions f and g is the number of arguments where these functions differ. In other words, the Hamming distance between two functions f and g is the
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Centrum Wiskunde & Informatica-Mastermath, Spring 2018
det(L? q (A)) qn and det(Lq(A0)) qm n If q is prime, and A,A0are non-singular in the finite field Zq, the above inequalities are equalities. Proof: For the dimension, note that qZm ˆL ˆZm.We only provide a proof for the inequality det(L? q (A)) qn and leave the other cases to the reader. and leave the other cases to the reader.
:Qari Abdul BasitQuran By Abdul BasitAbdel Baset Abdel Samad Mp3 · Deletions. In this paper, for any fixed positive integers t and q>2, we construct q -ary codes correcting a burst of at most t deletions with redundancy \log n+8\log\log n+o (\log\log n)+\gamma_ {q,t} bits and near-linear encoding/decoding complexity, where n is the message length and \gamma_ {q,t} is a constant that only
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· Balancing of q-ary sequences, using a generalization of Knuth's efficient parallel balancing scheme, is considered. It is shown that the new general scheme is as simple as the original binary scheme, which lends
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Abdul Basit – Murattal is born in a small village called Armant in Egypt in 1927, Qari Abdul-Basit ‘Abdus-Samad, or simply known as Abdul Basit was a renowned Qari. He was
Theory and applications of q-ary interleaved sequences-
127. :. G Gong. :. A new class of q-ary sequences, called interleaved sequence, is introduced. Their periods, shift equivalence, linear spans, and autocorrelation functions are derived. The interleaved sequences include a large number of popular sequences, such as multiplexed sequences, clock-controlled sequences, Kasami (1966
· Abstract. For a given prime power q, a new method for constructing q -ary constant weight codes is presented, and then several classes of q -ary constant weight codes are given by using the trace map over finite fields. Especially, for q = 2, some of these codes are optimal, and then the maximal possible sizes of two classes of binary constant
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