MinT - Information on Result #2209643

Information on Result #2209643

Linear OA(5⁸⁴, 96, F₅, 55) (dual of [96, 12, 56]-code), using strength reduction based on linear OA(5⁸⁴, 96, F₅, 56) (dual of [96, 12, 57]-code), using

concatenation of two codes [i] based on
1. linear OA(25¹⁸, 24, F₂₅, 18) (dual of [24, 6, 19]-code or 24-arc in PG(17,25)), using
  - discarding factors / shortening the dual code based on linear OA(25¹⁸, 25, F₂₅, 18) (dual of [25, 7, 19]-code or 25-arc in PG(17,25)), using
    - Reedâ€“Solomon code RS(7,25) [i]
2. linear OA(5², 4, F₅, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,5)), using
  - discarding factors / shortening the dual code based on linear OA(5², 5, F₅, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
    - Reedâ€“Solomon code RS(3,5) [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(5⁸⁴, 48, F₅, 2, 55) (dual of [(48, 2), 12, 56]-NRT-code)	[i]		OOA Folding
2	Linear OOA(5⁸⁴, 32, F₅, 3, 55) (dual of [(32, 3), 12, 56]-NRT-code)	[i]		OOA Folding