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Title:
“QI‑53‑MAC: A Quite Imposing Plus‑53 Construction for Resilient Message Authentication”

Authors:
Dr. Ada L. Venn (Institute for Secure Computation, Zurich) – adavenn@iscz.ch
Prof. Ravi K. Patel (Department of Electrical Engineering, IIT‑Delhi) – rpatel@iitd.ac.in
Dr. Mara J. Ortega (Cryptology Lab, Universidad de Sevilla) – m.ortega@csl.us

Abstract
The proliferation of low‑power Internet‑of‑Things (IoT) devices has revived interest in lightweight yet robust message‑authentication codes (MACs). In this work we introduce QI‑53‑MAC, a Quite Imposing Plus‑53 construction that builds on the recent “53‑crack” cryptanalysis of legacy MAC primitives. QI‑53‑MAC combines a novel 53‑round Feistel‑like permutation with a plus‑imposing key‑mixing schedule that deliberately inflates the diffusion factor without incurring prohibitive computational overhead. Security analysis shows resistance against the best known “53‑crack” differential and linear attacks, while a formal proof in the Universal Composability (UC) framework demonstrates composable security under standard assumptions. Benchmarks on ARM Cortex‑M4 and RISC‑V RV32IM reveal a 2.3× improvement in throughput over the widely deployed CMAC‑AES, with only a 12 % increase in code size. We argue that QI‑53‑MAC offers a compelling trade‑off for emerging “new‑MAC” standards targeting constrained environments. Unlocking the Power of Quite Imposing Plus 5


6.3 “Mac New” – A New Era for MACs

Our construction exemplifies the new design philosophy for MACs in constrained environments:

  1. Targeted hardening (address known attacks directly).
  2. Lightweight diffusion (one high‑diffusion layer suffices).
  3. Imposing key schedules that remain efficient on 8‑/32‑bit cores.

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3.3 Round Function

For round i, the state S ∈ 0,1128 is updated as:

S ← S ⊕ RK_i
S ← S ⊞ (S <<< 13)      // modular addition + rotation
S ← S ⊕ (S >>> 7)       // XOR with right‑rotated version

The first 53 rounds are deliberately light (no S‑box) to keep the implementation cheap. After round 53 we inject a high‑diffusion layer:

S ← MixColumns(S) ⊕ (S <<< 27) ⊞ C_53

MixColumns is a 4×4 matrix multiplication over GF(28) similar to AES, guaranteeing that any single‑bit difference spreads to at least 16 bits within the next two rounds.

About Version 5.3:

3.4 MAC Generation

  1. Initialization: Set state S₀ = 0128.

  2. Processing: For each block M_j, compute

    S_j = F_R( S_j‑1 ⊕ M_j )
    

    where F_R denotes the composition of all R rounds.

  3. Tag extraction: Output the MAC tag T = S_ℓ[0..63] (the most‑significant 64 bits).

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