We compare the strong secrecy capacities of Arbitrarily Varying Wiretap Channels (AVWCs) and General Arbitrarily Varying Wiretap Channels (GAVWCs) with their capacities under semantic secrecy constraint and other equivalent cryptographic secrecy constraints. It turns out that the average error and strong secrecy capacity of an AVWC is always equal to its maximal error and semantic secrecy capacity. However, this equivalence does not hold for all general communication systems, and we prove this by a counterexample. We also show that, for the GAVWC, semantic security and the other cryptographic security measures considered achieve the same capacity values. Finally, we bound the gap between the strong secrecy capacity and the semantic secrecy capacity for the GAVWC. The gap vanishes if the choice of the jammer is sub-double-exponential with respect to the block length n, which gives a sufficient condition for the strong and semantic secrecy capacities to be equal for GAVWCs.

翻译：我们比较了任意变化窃听信道（AVWCs）和一般任意变化窃听信道（GAVWCs）在强保密约束下的容量，与它们在语义保密约束及其他等效密码学保密约束下的容量。结果表明，AVWC的平均错误与强保密容量始终等于其最大错误与语义保密容量。然而，这一等价关系并不适用于所有一般通信系统，我们通过反例证明了这一点。我们还指出，对于GAVWC，所考虑的语义安全性及其他密码学安全度量能够实现相同的容量值。最后，我们界定了GAVWC强保密容量与语义保密容量之间的差距。若干扰方选择的参数相对于分组长度n呈亚双指数级下降，则该差距消失，这为GAVWC的强保密容量与语义保密容量相等提供了充分条件。