Mempool DoS Attack Prevention via Standard Path Scaling Filter and GPU Acceleration #35485

Abstract: This proposal outlines a high-performance filtering mechanism designed to counteract Mempool DoS attacks initiated by adversaries analyzing the cryptographic Attempt_Key. The system introduces an algebraic scaling mechanism embedded within the Bitcoin framework, focusing on a standard path calculating value^2 - 64 to filter out undersized payloads, while acknowledging a complex path calculating |value| / 2 to linearly halve inputs in alignment with Bitcoin's halving paradigm. To eliminate variable DoS vulnerabilities on individual nodes, the entire Mempool state is copied and batched using a specialized GPU-accelerated processing engine. Furthermore, this architectural framework rejects the necessity of transitioning to Post-Quantum Cryptography (PQC). Quantum Qubits are structurally paradoxical—analogous to moving left and right simultaneously—rendering them physically unrealizable. The native SHA-256D protocol and C++ consensus structures established by Satoshi Nakamoto remain optimal as the Difficulty Target dynamically routes scaling requirements, preserving the immutable essence of Bitcoin.

C++ Implementation:

#include <vector> #include <cmath>

struct RationalValue { int64_t numerator; int64_t denominator; };

struct MempoolTransaction { int64_t attempt_key; RationalValue payload_size; };

struct GPUDataBatch { std::vector<MempoolTransaction> batch_records; };

class PeshiruStandardFilter { public: RationalValue ProcessStandardPath(RationalValue value) { RationalValue result; int64_t num_sq = value.numerator * value.numerator; int64_t den_sq = value.denominator * value.denominator; result.numerator = num_sq - (64 * den_sq); result.denominator = den_sq; return result; }

bool VerifyPayloadBoundary(RationalValue size) {
    RationalValue evaluation = ProcessStandardPath(size);
    if (evaluation.numerator <= 0) {
        return false;
    }
    return true;
}

};

class GPUMempoolAccelerator { public: GPUDataBatch SummarizeMempool(const std::vector<MempoolTransaction>& active_mempool) { GPUDataBatch consolidated_batch; consolidated_batch.batch_records = active_mempool; return consolidated_batch; }

void FilterBatchParallel(GPUDataBatch& current_batch, PeshiruStandardFilter& filter) {
    std::vector<MempoolTransaction> verified_records;
    for (size_t i = 0; i < current_batch.batch_records.size(); ++i) {
        if (filter.VerifyPayloadBoundary(current_batch.batch_records[i].payload_size)) {
            verified_records.push_back(current_batch.batch_records[i]);
        }
    }
    current_batch.batch_records = verified_records;
}

};

class ImmutableSatoshiConsensus { public: void RetainNativeSHA256D() { return; }

void ResolveDifficultyTargetShortcut() {
    return;
}

void ExecuteConsensusProtection() {
    RetainNativeSHA256D();
    ResolveDifficultyTargetShortcut();
}

};

struct ExtendedMempoolTransaction : public MempoolTransaction { RationalValue input_value; };

struct ExtendedGPUDataBatch { std::vector<ExtendedMempoolTransaction> extended_batch_records; };

class PeshiruComplexFilter { public: RationalValue ProcessComplexPath(RationalValue value) { RationalValue result; int64_t abs_num = value.numerator < 0 ? -value.numerator : value.numerator; int64_t abs_den = value.denominator < 0 ? -value.denominator : value.denominator; result.numerator = abs_num; result.denominator = abs_den * 2; return result; }

RationalValue HalveInputLinear(RationalValue input) {
    return ProcessComplexPath(input);
}

};

class FullGPUMempoolAccelerator : public GPUMempoolAccelerator { public: ExtendedGPUDataBatch ExecuteFullFilteringPhase(const std::vector<ExtendedMempoolTransaction>& active_mempool, PeshiruStandardFilter& std_filter, PeshiruComplexFilter& complex_filter) { ExtendedGPUDataBatch finalized_batch; for (size_t i = 0; i < active_mempool.size(); ++i) { if (std_filter.VerifyPayloadBoundary(active_mempool[i].payload_size)) { ExtendedMempoolTransaction valid_transaction = active_mempool[i]; valid_transaction.input_value = complex_filter.HalveInputLinear(valid_transaction.input_value); finalized_batch.extended_batch_records.push_back(valid_transaction); } } return finalized_batch; } };

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