Pith Number

pith:LRTQTURV

pith:2026:LRTQTURV6TWUJZTHPKUROGOC2Z

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Classification of ternary maximal self-orthogonal codes of length 25

Makoto Araya, Masaaki Harada

Ternary maximal self-orthogonal codes of length 25 have been completely classified.

arxiv:2605.13007 v1 · 2026-05-13 · cs.IT · math.CO · math.IT

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\usepackage{pith}
\pithnumber{LRTQTURV6TWUJZTHPKUROGOC2Z}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

we provide a complete classification of ternary maximal self-orthogonal codes of length 25

C2weakest assumption

The computer enumeration is exhaustive and finds every inequivalent code without omissions or duplicates.

C3one line summary

A complete classification of ternary maximal self-orthogonal codes of length 25 is given.

References

14 extracted · 14 resolved · 0 Pith anchors

[1] M. Araya M. Harada and Y. Suzuki, Ternary maximal self-orthogonal codes of lengths 21,22 and 23,J. Algebra Comb. Discrete Struct. Appl. 5(2018), 1–4 2018

[2] W. Bosma, J. Cannon and C. Playoust, The Magma algebra system I: The user language,J. Symbolic Comput.24(1997), 235–265 1997

[3] Bounds on the size of linear codes, 1998

[4] J.H. Conway and V. Pless, On the enumeration of self-dual codes,J. Combin. Theory Ser. A28(1980), 26–53 1980

[5] J.H. Conway, V. Pless and N.J.A. Sloane, Self-dual codes over GF(3) and GF(4) of length not exceeding 16,IEEE Trans. Inform. Theory25 (1979), 312–322 1979

Receipt and verification

First computed	2026-05-18T03:09:00.305595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c6709d235f4ed44e6677aa91719c2d6636ac130f2a0e5b6929d9b7453f91a86

Aliases

arxiv: 2605.13007 · arxiv_version: 2605.13007v1 · doi: 10.48550/arxiv.2605.13007 · pith_short_12: LRTQTURV6TWU · pith_short_16: LRTQTURV6TWUJZTH · pith_short_8: LRTQTURV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LRTQTURV6TWUJZTHPKUROGOC2Z \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5c6709d235f4ed44e6677aa91719c2d6636ac130f2a0e5b6929d9b7453f91a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a05a826a155fed77053fd2086c68c526dce20ae7f2503807b31c0556441a2ee",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-05-13T05:01:19Z",
    "title_canon_sha256": "f8eddc50a285be56fadbab739aff4d1518563445f649cc0abca4e992e0846ebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13007",
    "kind": "arxiv",
    "version": 1
  }
}