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On the Discussion Rate Region for the PIN Model Qiaoqiao Zhou (zq115@ie.cuhk.edu.hk) Institute of Network Coding The Chinese University of Hong Kong Joint work with Chung Chan and Raymond Yeung 1 <latexit

  1. On the Discussion Rate Region for the PIN Model Qiaoqiao Zhou (zq115@ie.cuhk.edu.hk) Institute of Network Coding The Chinese University of Hong Kong Joint work with Chung Chan and Raymond Yeung 1

  2. <latexit sha1_base64="MrB8C0MgVg2j94QwG9LYPtwf3CE=">ACK3icbVDLSsNAFJ34rPUVdekmWARXJamCIgilgrisYB/QhDCZTtqhM5kwMxFKyP+48Vdc6MIHbv0Pp2kEbXtg4Mw593LvPUFMiVS2/WEsLa+srq2XNsqbW9s7u+beflvyRCDcQpxy0Q2gxJREuKWIorgbCwxZQHEnGF1P/M4DFpLw6F6NY+wxOIhISBUWvLNhsugGsowvcl85/Lq9fN/DTngqUwy1we0QuMoMs82KXbVzWPEKUgFGj65ovb5yhOFKIQil7jh0rL4VCEURxVnYTiWOIRnCAe5pGkGHpfmtmXWslb4VcqFfpKxc/duRQiblmAW6Ml931puIi7xeosILyVRnCgcoemgMKGW4tYkOKtPBEaKjWBSBC9q4WGUECkdLxlHYIze/I8adeqzm1dndWqTeKOErgEByBE+CAc1AHt6AJWgCBR/AM3sC78WS8Gp/G17R0ySh6DsA/GN8/xgmqfw=</latexit> <latexit sha1_base64="nYG6sxmHZ3+jcFgHx8bV6L8ewI=">ACnicbVDLSgMxFM3UV62vUZduokWomzJTBd0IRUEUNxXsA9phyKR32tDMgySjlKFrN/6KGxeKuPUL3Pk3pg9BWw8ETs65l3v8WLOpLKsLyMzN7+wuJRdzq2srq1vmJtbNRklgkKVRjwSDY9I4CyEqmKQyMWQAKPQ93rnQ/9+h0IyaLwVvVjcALSCZnPKFacs3dq0IrIKor/fR60LqHdgd+/hcD1z4tVwzbxWtEfAsSckjyaouOZnqx3RJIBQU6kbNpWrJyUCMUoh0GulUiICe2RDjQ1DUkA0klHpwzwvlba2I+EfqHCI/V3R0oCKfuBpytHa057Q/E/r5ko/8RJWRgnCkI6HuQnHKsID3PBbSaAKt7XhFDB9K6YdokgVOn0cjoEe/rkWVIrFe3DYunmKF8+m8SRTtoDxWQjY5RGV2iCqoih7QE3pBr8aj8Wy8Ge/j0owx6dlGf2B8fAOl6Jo3</latexit> <latexit sha1_base64="xGMtxUPovkRdYCrhP3qCmKAC/Tg=">ACKnicbZDLSsNAFIYn9VbrLerSzWARXJWkCroRqoK4rGAv0IQwmU7aoZNJmJkIJeR53PgqbrpQilsfxGkaQdv+MPDznXOYc34/ZlQqy5oapbX1jc2t8nZlZ3dv/8A8PGrLKBGYtHDEItH1kSMctJSVDHSjQVBoc9Ix/dz+qdFyIkjfizGsfEDdGA04BipDTyzFsnRGog/Qh82wnilkif0k389LcizD1s+xmFUdZ5plVq2blgsvGLkwVFGp65sTpRzgJCVeYISl7thUrN0VCUcxIVnESWKER2hAetpyFBLpvmpGTzTpA+DSOjHFczp34kUhVKOQ1935usu1mZwVa2XqODaTSmPE0U4n8UJAyqCM5yg30qCFZsrA3CgupdIR4igbDS6VZ0CPbiycumXa/ZF7X602W1cVfEUQYn4BScAxtcgQZ4BE3QAhi8gnfwAT6N2NiTI2veWvJKGaOwT8Z3z89sqo7</latexit> <latexit sha1_base64="yWkNxOm8asJ/+26dQPKcHkv2yI=">ACDHicbZDLSsNAFIZPvNZ6q7p0EyCq5JUQRGEohvBTQV7gTaUyXTSDp2ZhJmJUEIewI2v4saFIm59AHe+jdM0grb+MPDxn3OYc34/YlRpx/myFhaXldWC2vF9Y3Nre3Szm5ThbHEpIFDFsq2jxRhVJCGpqRdiQJ4j4jLX90Nam37olUNBR3ehwRj6OBoAHFSBurVyp3OdJDFSQ36fnFD7fTXpKx5AlKU9PlVJxM9jy4OZQhV71X+uz2QxzIjRmSKmO60TaS5DUFDOSFruxIhHCIzQgHYMCcaK8JDsmtQ+N07eDUJontJ25vycSxJUac90ZuvO1ibmf7VOrIMzL6EijURePpREDNbh/YkGbtPJcGajQ0gLKnZ1cZDJBHWJr+iCcGdPXkemtWKe1yp3p6Ua5d5HAXYhwM4AhdOoQbXUIcGYHiAJ3iBV+vRerberPdp64KVz+zBH1kf30q3nGo=</latexit> Secret Key Generation by Public Discussion [Maurer 93] [Ahlswede and Csiszár 93] 1 2 Pairwise Independent Network (PIN) model [Ye and Reznik 07] [Nitinawarat et al. 10a] Public discussion F 1 := X a ⊕ X b 3 Secret key Recoverability: F 1 ⊕ X b = X a K := X a Secrecy: I ( K ∧ F 1 ) = 0 2

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