Error Correcting Codes from Finite Geometries; Existence, Bounds, and Decoding.

有限几何的纠错码；

• 批准号: 262274-2013
• 负责人: Alderson, Timothy
• 金额: $ 0.8万
• 依托单位: University of New Brunswick
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2016
• 资助国家: 加拿大
• 起止时间: 2016-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=594748
• 关键词: Error; Correcting; Codes; Finite; Geometries

MDS codes possess the strongest possible error correction ability. The ubiquitous Reed-Solomon codes serve as an archetype of linear MDS codes and have found applications in such diverse areas as cryptography, hard disk storage, deep space communications, and digital audio recording. Over the past 5 years over 6000 patents granted through the U.S. patent office have involved MDS codes. These observations indicate the importance of this field to the scientific and engineering community in Canada.

MDS码具有最强的纠错能力。无处不在的里德-所罗门码作为线性MDS码的原型，在密码学、硬盘存储、深空通信和数字音频记录等领域得到了广泛的应用。在过去的5年里，通过美国专利局授予的6000多项专利涉及MDS代码。这些观察结果表明了这一领域对加拿大科学界和工程界的重要性。