{"id":225,"date":"2025-07-26T16:52:49","date_gmt":"2025-07-26T09:52:49","guid":{"rendered":"https:\/\/algebra.math-ugm.id\/?p=225"},"modified":"2025-07-28T10:55:42","modified_gmt":"2025-07-28T03:55:42","slug":"9th-day-cimpa-school-2025-on-arithmetic-in-action-number-theory-and-its-applications-to-cryptography-and-coding-theory","status":"publish","type":"post","link":"https:\/\/algebra.math-ugm.id\/en\/9th-day-cimpa-school-2025-on-arithmetic-in-action-number-theory-and-its-applications-to-cryptography-and-coding-theory\/","title":{"rendered":"9th Day: CIMPA SCHOOL 2025 on Arithmetic in Action: Number Theory and its Applications to Cryptography and Coding Theory"},"content":{"rendered":"

Universitas Gadjah Mada, Yogyakarta, Indonesia<\/strong><\/span><\/p>\n

July 24, 2025<\/span><\/strong><\/p>\n

Lecturing Session:\u00a0<\/strong><\/span><\/p>\n

The 9th day of CIMPA SCHOOL 2025 began with a lecture by Dr. Adeline Roux-Langlois, who continued her discussion on cryptographic techniques. The session focused on the Short Integer Solution (SIS) problem and the Learning With Errors (LWE) problem. Dr. Roux-Langlois then introduced Regev\u2019s encryption scheme, explaining its encryption mechanism using LWE and its associated security proof. The final part of her lecture covered signature schemes, including trapdoor-based signature schemes and schemes utilizing the Fiat-Shamir transformation.\"\"
\nIn the following session, Dr. Elisa Lorenzo Garcia delivered a lecture on Coding Theory. She introduced the concepts of dual codes and self-dual codes, along with their fundamental properties. Dr. Garcia provided an illustrative example involving the dual of a Hamming code and concluded with a discussion on syndrome decoding, supported by a concrete example.\"\"<\/p>\n

Exercise Session:<\/strong> <\/span><\/p>\n

Participants spent the exercise session working through problems related to lattice theory and coding theory under the guidance of the speakers.<\/p>\n

Extra Session:<\/span><\/strong>
\nAn extra session was held in the afternoon where four participants gave short presentations to share their research interests and current work, fostering further collaboration and academic exchange.<\/p>\n

\"\"<\/p>\n

The day ended with a Cultural Night. Participants enjoyed dinner at Heha Sky View, which offered a panoramic view of Yogyakarta. They then attended the spectacular Ramayana Ballet performance at Prambanan Temple, concluding the day with cultural enrichment and fellowship.<\/p>\n

\"\"<\/p>","protected":false},"excerpt":{"rendered":"

Universitas Gadjah Mada, Yogyakarta, Indonesia July 24, 2025 Lecturing Session:\u00a0 […]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-225","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/algebra.math-ugm.id\/en\/wp-json\/wp\/v2\/posts\/225","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/algebra.math-ugm.id\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/algebra.math-ugm.id\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/algebra.math-ugm.id\/en\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/algebra.math-ugm.id\/en\/wp-json\/wp\/v2\/comments?post=225"}],"version-history":[{"count":3,"href":"https:\/\/algebra.math-ugm.id\/en\/wp-json\/wp\/v2\/posts\/225\/revisions"}],"predecessor-version":[{"id":258,"href":"https:\/\/algebra.math-ugm.id\/en\/wp-json\/wp\/v2\/posts\/225\/revisions\/258"}],"wp:attachment":[{"href":"https:\/\/algebra.math-ugm.id\/en\/wp-json\/wp\/v2\/media?parent=225"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/algebra.math-ugm.id\/en\/wp-json\/wp\/v2\/categories?post=225"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/algebra.math-ugm.id\/en\/wp-json\/wp\/v2\/tags?post=225"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}