Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields

Ballet Stephane; Zykin Alexey

首页> 外文期刊>Designs, Codes and Crytography >Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields

【24h】

Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields

机译：模块化曲线的密集系列，素数和均匀对称张量级别在某些有限域中的乘法

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We obtain new uniform bounds for the symmetric tensor rank of multiplication in finite extensions of any finite field Fp or Fp2 where p denotes a prime number 5. In this aim, we use the symmetric Chudnovsky-type generalized algorithm applied on sufficiently dense families of modular curves defined over Fp2 attaining the Drinfeld-Vladuts bound and on the descent of these families to the definition field Fp. These families are obtained thanks to prime number density theorems of type Hoheisel, in particular a result due to Dudek (Funct Approx Commmentarii Math, 55(2):177-197, 2016).

机译：我们在任何有限场FP或FP2的有限扩展中获得了新的统一界限，其中P2的有限扩展中的乘法数为P序号5.在此目的中，我们使用应用于充分密集的模块族的对称Chudnovsky型广义算法在FP2上定义的曲线，达到DRINFELD-VLADUT绑定并在这些家庭下降到定义领域FP。由于Hoheisel型素数密度定理，特别是由于Dudek（Funct大约Commmentari Math，55（2）：177-197,2016），因此获得了这些家庭。

著录项

来源
《Designs, Codes and Crytography》 |2019年第3期|517-525|共9页
作者
Ballet Stephane; Zykin Alexey;
展开▼
作者单位

Aix Marseille Univ CNRS Cent Marseille I2M Marseille France|Inst Math Marseille Case 907 163 Ave Luminy F-13288 Marseille 9 France;

Univ Polynesie Francaise Lab GAATI BP 6570 F-98702 Faaa French Polynesi Fr Polynesia|NRU HSE AG Lab Moscow Russia|Russian Acad Sci Inst Informat Transmiss Problems Moscow Russia;

展开▼
收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Algebraic function field; Tower of function fields; Tensor rank; Algorithm; Finite field; Modular curve; Shimura curve;

机译：代数函数场;功能场塔;张量等级;算法;有限场;模块化曲线;Shimura曲线;

相似文献

外文文献
中文文献
专利

1. Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields [J] . Ballet Stephane, Zykin Alexey Designs, Codes and Crytography . 2019,第2a3期

机译：在某些有限域中，模曲线，质数和一致对称张量秩的密集族
2. Gaps between prime numbers and tensor rank of multiplication in finite fields [J] . Randriam Hugues Designs, Codes and Crytography . 2019,第2a3期

机译：有限域中素数与张量秩之间的间隙
3. Gaps between prime numbers and tensor rank of multiplication in finite fields [J] . Randriam Hugues Designs, Codes and Crytography . 2019,第2a3期

机译：在有限字段中占据乘法的繁多之间的差距
4. Shimura Modular Curves and Asymptotic Symmetric Tensor Rank of Multiplication in any Finite Field [C] . Stephane Ballet, Jean Chaumine, Julia Pieltant International conferece on algebraic informatics . 2013

机译：在任何有限域中的Shimura模块化曲线和渐近对称张量秩
5. Mean values related to multiplicative orders of elements of finite fields and heuristics for ranks of apparition of primes in divisibility sequences. [D] . Quan, Diane. 2011

机译：均值与有限域元素的乘法顺序和可分解序列素数的出现等级的启发法有关。
6. A Finite Field Method for Calculating Molecular Polarizability Tensors for Arbitrary Multipole Rank [O] . Dennis M. Elking, Lalith Perera, Robert Duke, -1

机译：用于计算任意多极秩的分子极化张量的有限现场方法
7. Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields [O] . Stéphane Ballet, Alexey Zykin 2018

机译：模块化曲线的密集系列，素数和均匀对称张量级别在某些有限域中的乘法
8. Tait-Bryan Angles Required for Diagonalisation of a Real Symmetric (3 x 3) Rank Two Tensor [R] . Leyland, Jane Anne 1996

机译：实对称（3 x 3）秩2张量的对角化所需的Tait-Bryan角度

Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields

摘要

著录项

相似文献

相关主题

期刊订阅