作者: 輕快來事 時(shí)間: 2025-3-21 22:29
Rational Points; Section 2.3.2 contains basic properties of F.-rational points on a curve over F., including the question about the number of points. In Section 2.3.3 we study the asymptotic behaviour of the number ofF.-rational points on a curve of high genus.作者: mercenary 時(shí)間: 2025-3-22 04:29
Anne Le Huérou,Amandine Regameyderstand the behaviour of parameters better. In this chapter we state the problems rigorously and discuss those results that do not use algebraic-geometric codes. We shall return to asymptotic problems in Chapter 3.4, since asymptotic results are the best to demonstrate the power of algebraic-geometric methods.作者: VEN 時(shí)間: 2025-3-22 06:53 作者: microscopic 時(shí)間: 2025-3-22 09:21
https://doi.org/10.1007/978-3-030-25294-6hemes possesses a powerful technique for constructing algebraic varieties based on the notion of a representable functor. Many results of this book can not be obtained without use of moduli schemes. In this chapter we give a brief introduction to this theme.作者: 芳香一點(diǎn) 時(shí)間: 2025-3-22 15:42 作者: 洞察力 時(shí)間: 2025-3-22 18:06 作者: NOVA 時(shí)間: 2025-3-23 00:28
Decoding In Section 3.3.3 we also consider plane curves, for which it is possible to correct about ./4 errors more than in the general case, and also codes obtained from AG-codes by concatenation and field restriction.作者: AVID 時(shí)間: 2025-3-23 02:36
Algebraic-Geometric Codes978-94-011-3810-9Series ISSN 0169-6378 作者: 邊緣 時(shí)間: 2025-3-23 06:17
0169-6378 Overview: 978-1-4020-0335-6978-94-011-3810-9Series ISSN 0169-6378 作者: 施加 時(shí)間: 2025-3-23 13:08 作者: 材料等 時(shí)間: 2025-3-23 15:23 作者: staging 時(shí)間: 2025-3-23 19:47 作者: abysmal 時(shí)間: 2025-3-23 22:52 作者: bronchodilator 時(shí)間: 2025-3-24 06:13
Riemann-Roch Theorem.) plays an essential role in the theory of curves. Such an expression is given by the Riemann-Roch theorem which is the crucial result of the theory. To state it one should study differential forms on curves which are also useful in many other questions.作者: Ancillary 時(shí)間: 2025-3-24 10:01 作者: FILLY 時(shí)間: 2025-3-24 11:46 作者: 口味 時(shí)間: 2025-3-24 18:36 作者: 惡名聲 時(shí)間: 2025-3-24 19:11
Unanimity, Consensus and Majority Rule,e but the algebraic approach is also considered; over ? we use also analysis and topology. We do not consider arithmetical questions in this chapter; the ground field . is assumed here to be algebraically closed.作者: 縱火 時(shí)間: 2025-3-25 02:59
https://doi.org/10.1007/978-3-030-25294-6.) plays an essential role in the theory of curves. Such an expression is given by the Riemann-Roch theorem which is the crucial result of the theory. To state it one should study differential forms on curves which are also useful in many other questions.作者: Moderate 時(shí)間: 2025-3-25 05:03 作者: 我沒有強(qiáng)迫 時(shí)間: 2025-3-25 10:45 作者: 畢業(yè)典禮 時(shí)間: 2025-3-25 12:28 作者: 反饋 時(shí)間: 2025-3-25 19:26
Towards a Definition of Democracy,lgorithm for Reed-Solomon codes (given in Section 1.2.1) to the case of an arbitrary curve; we call it the basic algorithm. Unfortunately the basic algorithm corrects ./2 errors less than one would like. The reason is that the Riemann-Roch theorem does not answer the question about the exact value o作者: vasculitis 時(shí)間: 2025-3-25 21:05
Is Democracy the Best Form of Government?,nstructed from families of algebraic curves are the better, the higher is (asymptotically) the ratio of the number of F.-points on them to their genus. In Section 3.4.1 we establish the basic algebraic-geometric asymptotic bound, it is a line intersecting the Gilbert-Varshamov bound if . is large en作者: 鴿子 時(shí)間: 2025-3-26 01:11 作者: Arthropathy 時(shí)間: 2025-3-26 08:08
978-1-4020-0335-6Kluwer Academic Publishers and Copyright Holders 1991作者: 旅行路線 時(shí)間: 2025-3-26 10:21 作者: 擁護(hù)者 時(shí)間: 2025-3-26 14:03
Democracies at War against TerrorismIn this chapter we present several examples of codes. Each example is in fact a method to construct some family of codes, which (in some way or other) have rather good parameters. Since in many cases these families are predecessors of algebraic-geometric codes, we try to choose constructions that are easy to generalize in that direction.作者: 飲料 時(shí)間: 2025-3-26 16:57 作者: elastic 時(shí)間: 2025-3-26 22:01 作者: interlude 時(shí)間: 2025-3-27 01:28
Democracy Deferred: Lessons for the Future,The general discussion of the previous chapter leaves us a bit in the air without examples of AG-codes for which it is possible to calculate the parameters and to compare them with codes obtained by non-algebraic-geometric constructions.作者: BOGUS 時(shí)間: 2025-3-27 09:20 作者: deactivate 時(shí)間: 2025-3-27 12:47
Examples and ConstructionsIn this chapter we present several examples of codes. Each example is in fact a method to construct some family of codes, which (in some way or other) have rather good parameters. Since in many cases these families are predecessors of algebraic-geometric codes, we try to choose constructions that are easy to generalize in that direction.作者: enfeeble 時(shí)間: 2025-3-27 15:16 作者: 千篇一律 時(shí)間: 2025-3-27 19:06
Constructions and PropertiesThese exist several essentially equivalent ways to construct linear codes starting from algebraic curves (and also from varieties of higher dimensions). For curves, the codes we get can be rather well described: we can bound their parameters and weight spectra, we understand the duality.作者: 同步左右 時(shí)間: 2025-3-27 22:06 作者: Endoscope 時(shí)間: 2025-3-28 04:49 作者: 翻布尋找 時(shí)間: 2025-3-28 06:58
Is Democracy the Best Form of Government?,rgation bound. For small . this bound coincides with the Gilbert-Varshamov bound, and if . is large enough, it is a bit better than the maximum of the Gilbert-Varshamov bound and the basic AG-bound, smoothing the angles at points of their intersection. The basic AG-bound is constructive, applying to作者: 會(huì)議 時(shí)間: 2025-3-28 14:26
Asymptotic Problems - just as our problem of finding out the best possible parameters of a code - passing to the limit for . → ∞ helps us to avoid “deviations” and to understand the behaviour of parameters better. In this chapter we state the problems rigorously and discuss those results that do not use algebraic-geom作者: degradation 時(shí)間: 2025-3-28 16:32
Algebraic Curvese but the algebraic approach is also considered; over ? we use also analysis and topology. We do not consider arithmetical questions in this chapter; the ground field . is assumed here to be algebraically closed.作者: Evacuate 時(shí)間: 2025-3-28 20:11
Riemann-Roch Theorem.) plays an essential role in the theory of curves. Such an expression is given by the Riemann-Roch theorem which is the crucial result of the theory. To state it one should study differential forms on curves which are also useful in many other questions.作者: 符合國(guó)情 時(shí)間: 2025-3-28 23:01 作者: Neutropenia 時(shí)間: 2025-3-29 05:35
Singular Curves since many smooth curves have singular models which are useful to prove some of their properties. For example, any curve has a plane (singular) model. In this chapter we discuss some properties of singular curves and describe their connections with smooth curves.作者: Customary 時(shí)間: 2025-3-29 07:20
Reductions and Schemesalgebraic varieties. By specialization one can obtain for example varieties over finite fields from varieties over algebraic number fields. The study of specialization using the language of quasi-projective varieties has many disadvantages. For these questions the language of schemes which is now th作者: harangue 時(shí)間: 2025-3-29 14:58 作者: 信任 時(shí)間: 2025-3-29 18:15 作者: 占線 時(shí)間: 2025-3-29 22:48
10樓作者: CHASM 時(shí)間: 2025-3-30 00:08
10樓作者: 音的強(qiáng)弱 時(shí)間: 2025-3-30 05:23
10樓作者: 偶像 時(shí)間: 2025-3-30 08:57
10樓
