Delesseria plocamium C. Agardh var. costata C. Agardh, 1822 [1822–1823]: 181 (type locality: Australia).—C. Agardh, 1824: 251.
Plocamium costatum (C. Agardh) J. Hooker & Harvey, 1847: 404.—Harvey, 1849 [1847–1849]: 122.— Kützing, 1849: 886.— J. Agardh, 1851 [1851–1863]: 403–404.— Harvey, 1863: xxxix.— Kützing, 1866: 18, pl. 52: figs. d, e.— J. Agardh, 1876: 344–345.— De Toni, 1900: 597–598.— Mazza, 1908 [1905–1918]: 15–16.— Lucas, 1909: 34.— V. May, 1965: 372.
Nereidea costata (C. Agardh) Kuntze, 1891: 907.
Note: The provenance of the type was said by C. Agardh to be "Ad litus occidentale Novae Hollandiae'', but according to Womersley (1994: 381) this species does not occur west of Elliston, South Australia.