MinT - Information on Result #2240422

Information on Result #2240422

Linear OA(4¹²², 203, F₄, 48) (dual of [203, 81, 49]-code), using 1 times truncation based on linear OA(4¹²³, 204, F₄, 49) (dual of [204, 81, 50]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁴, 51, F₆₄, 24) (dual of [51, 27, 25]-code or 51-arc in PG(23,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁴, 64, F₆₄, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
    - Reedâ€“Solomon code RS(40,64) [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(4¹²², 101, F₄, 2, 48) (dual of [(101, 2), 80, 49]-NRT-code)	[i]		OOA Folding