We report on an implementation of the Extended Tower Number Field Sieve (ExTNFS) and record computation in a medium characteristic finite field Fp4 of 512 bits size. We show that sieving in a box (orthotope) for collecting relations for ExTNFS is still fast in 4 dimensions.
翻译:我们报告了扩展塔编号字段筛选(ExTNFS)的执行情况,并将计算结果记录在512比特大小的中特性限定字段Fp4中。我们显示,在收集ExTNFS关系的盒子中(orthotope)进行筛选在4维方面仍然很快。