ring of formal triangle matrix is also called ring of extended triangle matrix which plays an important role in theory of rings and moduli 摘要形式三角矩陣環(huán),又稱廣義三角矩陣環(huán),這類環(huán)及其上的模在環(huán)模理論中扮演著重要的角色。
with development of science and technology, theory of rings is increasingly accurate and perfect . preliminary results of rings have been applied in practice 隨著科學(xué)技術(shù)的不斷發(fā)展,環(huán)理論進(jìn)展越來(lái)越大,越來(lái)越越精確和完善,并且環(huán)的初步結(jié)果已在實(shí)踐中得到應(yīng)用。
in resent years, the theory of ring of coding and cryptography is the key for researcher in coding and cryptography . in particular, the study of code over z4 . in this paper, the main results are the following : 1 近年來(lái),很從事編碼密碼理論的研究者將研究的興趣從有限域上的編碼密碼理論轉(zhuǎn)移到有限環(huán)上,尤其是z_1碼的研究,通過(guò)gray映射,將z_1上的碼與域上二元碼聯(lián)系起來(lái)。