Results 51 to 60 of about 533,291 (281)
Reversible Self-Dual Codes Over the Ring F2 +
IEEE AccessIn this study, we introduce bisymmetric self-dual codes over the finite field ${\mathbb F}_{2}$ of order two. We developed a method to generate binary bisymmetric self-dual codes from a small-length bisymmetric self-dual code by increasing its length ...
Hyun Jin Kim, Whan-Hyuk Choi
doaj +1 more source
Open Mathematics, 2022 Let q=pmq={p}^{m}, pp be an odd prime, and Rk=Fq[u1,u2,ā¦,uk]/āØui3=ui,uiuj=ujuiā©{R}_{k}={{\mathbb{F}}}_{q}\left[{u}_{1},{u}_{2},\ldots ,{u}_{k}]\hspace{-0.08em}\text{/}\hspace{-0.08em}\langle {u}_{i}^{3}={u}_{i},{u}_{i}{u}_{j}={u}_{j}{u}_{i}\rangle ...
Kong Bo, Zheng Xiying
doaj +1 more source
New cubic self-dual codes of length 54, 60 and 66
, 2017 We study the construction of quasi-cyclic self-dual codes, especially of binary cubic ones. We consider the binary quasi-cyclic codes of length 3\ell with the algebraic approach of [9]. In particular, we improve the previous results by constructing 1 new
Kim, Jon-Lark +2 more
core +1 more source
On the enumeration of self-dual codes
Journal of Combinatorial Theory, Series A, 1980 AbstractWe give the complete classification of all binary, self-dual, doubly-even (32, 16) codes. There are 85 non-equivalent, self-dual, doubly-even (32, 16) codes. Five of these have minimum weight 8, namely, a quadratic residue code and a Reed-Muller code, and three new codes.
John H. Conway, Vera Pless
openaire +1 more source
FEBS Letters, EarlyView.We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, lessābranched chains.
Kenric Lee +3 more
wiley +1 more source
, 2002 Self-dual codes are important because many of the best codes known are of this type and they have a rich mathematical theory. Topics covered in this survey include codes over F_2, F_3, F_4, F_q, Z_4, Z_m, shadow codes, weight enumerators, Gleason-Pierce ...
Rains, E. M., Sloane, N. J. A.
core +1 more source
New extremal binary self-dual codes of length 68 from quadratic residue codes over f_2+uf_2+u^2f_2
, 2013 In this work, quadratic reside codes over the ring F2 +uF2 +u^2F2 with u^3 = u are considered. A duality and distance preserving Gray map from F2 + uF2 + u^2F2 to (F_2)^3 is defined.
Kaya, Abidin +2 more
core +1 more source
Structural biology of ferritin nanocages
FEBS Letters, EarlyView.Ferritin is a conserved ironāstorage protein that sequesters iron as a ferric mineral core within a nanocage, protecting cells from oxidative damage and maintaining iron homeostasis. This review discusses ferritin biology, structure, and function, and highlights recent cryoāEM studies revealing mechanisms of ferritinophagy, cellular iron uptake, and ...
Eloise Mastrangelo, Flavio Di Pisa
wiley +1 more source
Tau acetylation at K331 has limited impact on tau pathology in vivo
FEBS Letters, EarlyView.We mapped tau postātranslational modifications in humanized MAPT knockāin mice and in amyloidābearing double knockāin mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knockāin mice.
Shoko Hashimoto +3 more
wiley +1 more source
The dual of convolutional codes over $\mathbb{Z}_{p^r}$
, 2016 An important class of codes widely used in applications is the class of convolutional codes. Most of the literature of convolutional codes is devoted to con- volutional codes over finite fields.
Napp, Diego +3 more
core +1 more source