We prove that a simple construction can transform a “subverted” random oracle—which disagrees with the original one at a negligible fraction of inputs—into a construction that isindifferentiablefrom a random function. Our results permit future designers of cryptographic primitives in typical kleptog...
In this section we find a closed form expression for the generalized independence number α ( M CFL , d ) of the index coding problem I ( M CFL , d ) . There are two different prefetching schemes employed in [3], depending on the relationship between the number of messages and the nu...
,𝜑𝐾, where 𝜑𝑖 is a (𝑑−1)-uniform state, by 𝐴1,𝐴2,…,𝐴𝐾 and Connection 1 in the Introduction;Step 3. {𝜑1,…,𝜑𝐾} can be used as a base to form the QECC 𝑄=((𝑁,𝐾,𝑑)). Theorem 1. If t ≥ 2 𝑡≥2 and t is odd, then we...
, φ K } can be used as a base to form the QECC Q = ( ( N , K , d ) ) . Theorem 1. If t ≥ 2 and t is odd, then we can construct a ( ( t + 1 , K , 2 ) ) QECC for any integer 1 ≤ K ≤ 2 t − 1 including an optimal ( ( t + 1 , 2 t − ...
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