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Symmetric difference of two 1-fold MDS codes is always a latin bitrade. Symmetric difference of two $t$-fold MDS codes may also be a latin bitrade. In this case we say that this latin bitrade embedded into $t$-fold MDS code. The intersection of $t$-fold MDS code and a latin bit"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1104.1295","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-04-07T10:51:44Z","cross_cats_sorted":[],"title_canon_sha256":"ae6f95a78b0753d4173aea590940a72a26bf359cb1dbd5e968ccf0f3131bb5b9","abstract_canon_sha256":"01681b836598abbf0ac9e3d5c22a6f37fcf7e2cb8b67246ac30f781fa6b69fca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:14.573715Z","signature_b64":"FQfBERGLyhkIzZz1Ki1dtb+gZDIHq1V0GzYECEXaqtU6a7pIoB1zBSV17LxATJ3WM1zI/rpjHfQhkNoSwPccCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b2dc7848cc8a40e4bbfb024fba51ca1e39267621ad9a4ebfb73c34957e85e337","last_reissued_at":"2026-05-18T02:54:14.573163Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:14.573163Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multidimensional Latin Bitrade","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Vladimir N. 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