MinT - Information on Result #2241239

Information on Result #2241239

Linear OA(4¹⁴³, 215, F₄, 60) (dual of [215, 72, 61]-code), using 1 times truncation based on linear OA(4¹⁴⁴, 216, F₄, 61) (dual of [216, 72, 62]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁰, 54, F₆₄, 30) (dual of [54, 24, 31]-code or 54-arc in PG(29,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³⁰, 64, F₆₄, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
    - Reedâ€“Solomon code RS(34,64) [i]
2. linear OA(4¹, 4, F₄, 1) (dual of [4, 3, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4¹⁴³, 107, F₄, 2, 60) (dual of [(107, 2), 71, 61]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁴³, 71, F₄, 3, 60) (dual of [(71, 3), 70, 61]-NRT-code)	[i]		OOA Folding