MinT - Information on Result #2245347

Information on Result #2245347

Linear OA(5⁵², 68, F₅, 30) (dual of [68, 16, 31]-code), using 1 times truncation based on linear OA(5⁵³, 69, F₅, 31) (dual of [69, 16, 32]-code), using

concatenation of two codes [i] based on
1. linear OA(25¹⁵, 23, F₂₅, 15) (dual of [23, 8, 16]-code or 23-arc in PG(14,25)), using
  - discarding factors / shortening the dual code based on linear OA(25¹⁵, 25, F₂₅, 15) (dual of [25, 10, 16]-code or 25-arc in PG(14,25)), using
    - Reedâ€“Solomon code RS(10,25) [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(5⁵², 34, F₅, 2, 30) (dual of [(34, 2), 16, 31]-NRT-code)	[i]		OOA Folding