My paper "Machine learning discovers new champion codes", joint with Yang-Hui He, Q Le, and Dmitrii Riabchenko, was published in Nature's Artificial Intelligence.
www.nature.com/articles/s44...
#MathSky #MachineLearning #CodingTheory
New Upper Bound for Vector Trifferent Codes Improves Classical Limits
Researchers proved vector trifferent codes satisfy |C| ≤ (√2+o(1))·(3/2)^n, tightening the factor 2, and showed improvement |C| ≲ n^{-1/4}·(3/2)^n. Read more: getnews.me/new-upper-bound-for-vect... #vectortrifferent #codingtheory
Extended Algebraic Geometry Codes: Dual and Covering Radii Insights
Extended algebraic geometry codes can achieve length q + 1 + 2g√q, and their covering radius has exactly g + 2 possible values (only two when genus = 1). getnews.me/extended-algebraic-geome... #algebraicgeometry #codingtheory
Researchers Introduce (*)-(L,P)-Twisted Reed‑Solomon LCD Codes
Researchers define (*)-(L,P)-twisted generalized Reed‑Solomon (TGRS) codes and present four new linear complementary dual (LCD) code families. Read more: getnews.me/researchers-introduce-l-... #codingtheory #lcdcodes #reedsolomon
Overview: A Hacker News discussion explored "Essential Coding Theory" (PDF), clarifying "coding" as error-correcting codes within information theory. It linked these concepts to data compression and AI, and offered supplementary learning resources. #CodingTheory 1/6
Two ENCODE doctoral candidates made a video introduction to #CodingTheory with ISBN codes as example:
Upcoming in @SageMath 9.4: Algebraic Geometry (AG) codes, powered by global function fields machinery
wiki.sagemath.org/ReleaseTours/sage-9.4
#Python #CodingTheory #OpenSource
