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The geometric structure of relative one-weight codes
| 1. | Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, China |
| 2. | Faculty of Mathematics and Statistics, Hubei Key Laboratory of Applied Mathematics, Hubei University, Wuhan, Hubei 430062, China |
References:
| [1] |
A. Ashikhmin and A. Barg, Minimal vectors in linear codes, IEEE Trans. Inf. Theory, 44 (1998), 2010-2017.
doi: 10.1109/18.705584. |
| [2] |
W. D. Chen and T. Kløve, The weight hierarchies of q-ary codes of dimension 4, IEEE Trans. Inf. Theory, 42 (1996), 2265-2272.
doi: 10.1109/18.556621. |
| [3] |
Z. H. Liu and W. D. Chen, Notes on the value function, Des. Codes Crypt., 54 (2010), 11-19.
doi: 10.1007/s10623-009-9305-z. |
| [4] |
Z. H. Liu, W. D. Chen, Z. M. Sun and X. Y. Zeng, Further results on support weights of certain subcodes, Des. Codes Crypt., 61 (2011), 119-129.
doi: 10.1007/s10623-010-9442-4. |
| [5] |
Z. H. Liu and X. W. Wu, On relative constant-weight codes, Des. Codes Crypt., 75 (2015), 127-144.
doi: 10.1007/s10623-013-9896-2. |
| [6] |
Y. Luo, C. Mitrpant, A. J. H. Vinck and K. Chen, Some new characters on the wire-tap channel of type II, IEEE Trans. Inf. Theory, 51 (2005), 1222-1229.
doi: 10.1109/TIT.2004.842763. |
| [7] |
F. J. MacWilliams, N. J. A. Sloane, The Theory of Error Correcting Codes, North Holland, Amsterdam, 1977. |
| [8] |
V. K. Wei, Generalized Hamming weight for linear codes, IEEE Trans. Inf. Theory, 37 (1991), 1412-1418.
doi: 10.1109/18.133259. |
| [9] |
J. A. Wood, Relative one-weight linear codes, Des. Codes Crypt., 72 (2014), 331-344.
doi: 10.1007/s10623-012-9769-0. |
| [10] |
J. Yuan and C. Ding, Secret sharing schemes from three classes of linear codes, IEEE Trans. Inf. Theory, 52 (2006), 206-212.
doi: 10.1109/TIT.2005.860412. |
show all references
References:
| [1] |
A. Ashikhmin and A. Barg, Minimal vectors in linear codes, IEEE Trans. Inf. Theory, 44 (1998), 2010-2017.
doi: 10.1109/18.705584. |
| [2] |
W. D. Chen and T. Kløve, The weight hierarchies of q-ary codes of dimension 4, IEEE Trans. Inf. Theory, 42 (1996), 2265-2272.
doi: 10.1109/18.556621. |
| [3] |
Z. H. Liu and W. D. Chen, Notes on the value function, Des. Codes Crypt., 54 (2010), 11-19.
doi: 10.1007/s10623-009-9305-z. |
| [4] |
Z. H. Liu, W. D. Chen, Z. M. Sun and X. Y. Zeng, Further results on support weights of certain subcodes, Des. Codes Crypt., 61 (2011), 119-129.
doi: 10.1007/s10623-010-9442-4. |
| [5] |
Z. H. Liu and X. W. Wu, On relative constant-weight codes, Des. Codes Crypt., 75 (2015), 127-144.
doi: 10.1007/s10623-013-9896-2. |
| [6] |
Y. Luo, C. Mitrpant, A. J. H. Vinck and K. Chen, Some new characters on the wire-tap channel of type II, IEEE Trans. Inf. Theory, 51 (2005), 1222-1229.
doi: 10.1109/TIT.2004.842763. |
| [7] |
F. J. MacWilliams, N. J. A. Sloane, The Theory of Error Correcting Codes, North Holland, Amsterdam, 1977. |
| [8] |
V. K. Wei, Generalized Hamming weight for linear codes, IEEE Trans. Inf. Theory, 37 (1991), 1412-1418.
doi: 10.1109/18.133259. |
| [9] |
J. A. Wood, Relative one-weight linear codes, Des. Codes Crypt., 72 (2014), 331-344.
doi: 10.1007/s10623-012-9769-0. |
| [10] |
J. Yuan and C. Ding, Secret sharing schemes from three classes of linear codes, IEEE Trans. Inf. Theory, 52 (2006), 206-212.
doi: 10.1109/TIT.2005.860412. |
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