MinT - Information on Result #2245685

Information on Result #2245685

Linear OA(5⁸⁷, 97, F₅, 60) (dual of [97, 10, 61]-code), using 3 times truncation based on linear OA(5⁹⁰, 100, F₅, 63) (dual of [100, 10, 64]-code), using

concatenation of two codes [i] based on
1. linear OA(25¹⁵, 20, F₂₅, 15) (dual of [20, 5, 16]-code or 20-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(5³, 5, F₅, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using
  - Reedâ€“Solomon code RS(2,5) [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(5⁸⁷, 48, F₅, 2, 60) (dual of [(48, 2), 9, 61]-NRT-code)	[i]		OOA Folding
2	Linear OOA(5⁸⁷, 32, F₅, 3, 60) (dual of [(32, 3), 9, 61]-NRT-code)	[i]		OOA Folding