(a) Any property or properties included in this part or chapter 5 of this title shall be back assessed or reassessed for the period provided by law, viz.:

(1) When the property or properties have been omitted from or escaped taxation;

(2) When the property or properties have been assessed by the assessor or computed by the board of equalization at less than actual cash value by reason of any fraud, deception, misrepresentation, misstatement, or omission of full statements of the owner of the property or the owner's agent or attorney; or

(3) When the owner of the property connives at or fraudulently procures or induces an assessment to be made by the assessor or computed by the board of equalization at less than its actual cash value; provided, that in all cases where there is a grossly inadequate assessment, fraud shall be presumed.

(b) In all cases where any taxes or assessments may be set aside or declared void by any court by reason of any irregularity or neglect to comply with the law in the proceedings; by reason of the illegality of the act constituting the power or authority to assess and levy such taxes or assessments; for want of authority in the board or authority acting in lieu of the county legislative bodies or the duly authorized and legally constituted authorities of the state, for state and county purposes; and such other purposes as may be authorized by law, and the taxes still remain unpaid, the county legislative body of any county, whenever such taxes or assessments have been made or attempted to be made, shall have the power to reassess back taxes upon any lot or parcel of lots or parcels of land subject to or chargeable with taxes for state and county purposes, and relevy the lots or parcels, and the reassessment and levies for such purposes shall be and remain liens upon the lots or parcels of land, with interest from the date when the taxes were properly leviable and assessable where such original assessments remain due and unpaid.