A cytoplasmic male sterile triticale cultivar, designated 343CMS, is disclosed. The invention relates to the seeds of triticale cultivar 343CMS, to the plants of triticale 343CMS, and to methods for producing a triticale plant produced by crossing the cultivar 343CMS with itself or another triticale variety. The invention also relates to methods for producing a triticale plant containing in its genetic material one or more transgenes and to the transgenic triticale plants and plant parts produced by those methods. The invention also relates to triticale varieties or breeding varieties and plant parts derived from triticale cultivar 343CMS, to methods for producing other triticale varieties, lines or plant parts derived from triticale cultivar 343CMS, and to the triticale plants, varieties, and their parts derived from the use of those methods. The invention further relates to hybrid triticale seeds and plants produced by crossing the cultivar 343CMS with another triticale cultivar.
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