New Asymptotic Bounds on the Size of Multiple Packings of the Euclidean Sphere

1. Ashikhmin, A., Barg, A., Litsyn, S.: A new upper bound on the reliability function of the Gaussian channel. IEEE Trans. Inf. Theory 46(6), 1945–1961 (2000)

   Article  MATH  MathSciNet  Google Scholar 

2. Ben-Haim, Y., Litsyn, S.: Improved upper bounds on the reliability function of Gaussian channel. IEEE Trans. Inf. Theory 54(1), 5–12 (2008)

   Article  MathSciNet  Google Scholar 

3. Blachman, N., Few, L.: Multiple packing of spherical caps. Mathematika 10, 84–88 (1963)

   Article  MATH  MathSciNet  Google Scholar 

4. Blinovsky, V.: Multiple packing of the Euclidean sphere. IEEE Trans. Inf. Theory 45(4), 1334–1337 (1999)

   Article  MATH  MathSciNet  Google Scholar 

5. Bocharova, I., Johannesson, R., Kudryashov, B., Loncar, M.: An improved bound on the list error probability and list distance properties. IEEE Trans. Inf. Theory 54(1), 13–32 (2008)

   Article  MathSciNet  Google Scholar 

6. Kabatyansky, G., Levenshtein, V.: Bounds for packing on the sphere and in the space. Probl. Inf. Transm. 14(1), 3–25 (1978)

   Google Scholar 

Download references