Quantum Codes from Cyclic Codes over $F_2+vF_2$

On the quantum codes over Yq

“…Many quantum error correcting codes have been constructed by using classical error correcting codes over many finite rings [3][4][5][6][7][8][9][10][11][12][13][14][15][16].…”

The Quantum Codes over F_q and Quantum Quasi-cyclic Codes over F_p

“…Many good quantum codes has been constructed by using the classical cyclic codes over F q with self orthogonal (or dual containing) properties. Recently, some authors have constructed quantum the codes by using the linear codes over some finite ring in [1][2][3][4][8][9][10][12][13][14][15][16][17][18].…”

QUANTUM CODES FROM CODES OVER THE RING $\mathbb{F}_{2^m}+\alpha \mathbb{F}_{2^m}+\beta \mathbb{F}_{2^m}+ \gamma \mathbb{F}_{2^m}$

“…For example, regarding Gray image of linear or cyclic codes over F 4 + uF 4 , some quantum codes were presented in [2]. A different method to obtain quantum error-correcting codes from cyclic codes over F 2 + vF 2 was given in [3].…”

“…This code with parameters [6,3,8 Notice that we obtain a binary self-dual code whose minimum distance is 8 via a binary self-dual code whose minimum distance is 2.…”