MinT - Information on Result #2245219

Information on Result #2245219

Linear OA(5⁴⁴, 62, F₅, 24) (dual of [62, 18, 25]-code), using 1 times truncation based on linear OA(5⁴⁵, 63, F₅, 25) (dual of [63, 18, 26]-code), using

concatenation of two codes [i] based on
1. linear OA(25¹², 21, F₂₅, 12) (dual of [21, 9, 13]-code or 21-arc in PG(11,25)), using
  - discarding factors / shortening the dual code based on linear OA(25¹², 25, F₂₅, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,25)), using
    - Reedâ€“Solomon code RS(13,25) [i]
2. linear OA(5¹, 3, F₅, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(5¹, s, F₅, 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(5⁴⁴, 31, F₅, 2, 24) (dual of [(31, 2), 18, 25]-NRT-code)	[i]		OOA Folding