Three poems composed by TSUMORI no Kunimoto had been selected for "Goshui shu," because TSUMORI no Kunimoto was said to have bribed Michitoshi with horse mackerel to select his poems, so the anthology was nicknamed 'Koaji shu' (a collection of horse mackerel) (according to Fukurozoshi, an essay on tanka poetry compiled by FUJIWARA no Kiyosuke).
津守国基の歌が『後拾遺集』に三首も入っているのは、通俊に賄賂として鰺（アジ）を贈った為だと風評され、「小鰺集」の異名を得たという（袋草紙）。