8 citations · 25 across the 7 of their papers we have counts for
7 papers
EmbeddingGemma: Powerful and Lightweight Text Representations
Henrique Schechter Vera, Sahil Dua, Biao Zhang +86
We introduce EmbeddingGemma, a new lightweight, open text embedding model based on the Gemma 3 language model family. Our innovative training recipe strategically captures knowledg…
Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours
Joe Gildea, Adrian Korban, Adam Michael Roberts +1
In this work, we define a modification of a bordered construction for self-dual codes which utilises -circulant matrices. We provide the necessary conditions for the constructio…
Group LCD and Group Reversible LCD Codes
Steven T. Dougherty, Joe Gildea, Adrian Korban +1
In this paper, we give a new method for constructing LCD codes. We employ group rings and a well known map that sends group ring elements to a subring of the matrices…
New binary self-dual codes of lengths 56, 62, 78, 92 and 94 from a bordered construction
Joe Gildea, Adrian Korban, Adam Michael Roberts +1
In this paper, we present a new bordered construction for self-dual codes which employs -circulant matrices. We give the necessary conditions for our construction to produce sel…
New binary self-dual codes of lengths 80, 84 and 96 from composite matrices
Joe Gildea, Adrian Korban, Adam Michael Roberts
In this work, we apply the idea of composite matrices arising from group rings to derive a number of different techniques for constructing self-dual codes over finite commutative F…
Quaternary Hermitian self-dual codes of lengths 26, 32, 36, 38 and 40 from modifications of well-known circulant constructions
Adam Michael Roberts
In this work, we give three new techniques for constructing Hermitian self-dual codes over commutative Frobenius rings with a non-trivial involutory automorphism using -circulan…
New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction
Joe Gildea, Adrian Korban, Adam Michael Roberts
In this work, we give a new technique for constructing self-dual codes over commutative Frobenius rings using -circulant matrices. The new construction was derived as a modifica…