MinT - Information on Result #2245756

Information on Result #2245756

Linear OA(5⁷⁷, 91, F₅, 49) (dual of [91, 14, 50]-code), using 1 times truncation based on linear OA(5⁷⁸, 92, F₅, 50) (dual of [92, 14, 51]-code), using

concatenation of two codes [i] based on
1. linear OA(25¹⁶, 23, F₂₅, 16) (dual of [23, 7, 17]-code or 23-arc in PG(15,25)), using
  - discarding factors / shortening the dual code based on linear OA(25¹⁶, 25, F₂₅, 16) (dual of [25, 9, 17]-code or 25-arc in PG(15,25)), using
    - Reedâ€“Solomon code RS(9,25) [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(5⁷⁷, 45, F₅, 2, 49) (dual of [(45, 2), 13, 50]-NRT-code)	[i]		OOA Folding
2	Linear OOA(5⁷⁷, 30, F₅, 3, 49) (dual of [(30, 3), 13, 50]-NRT-code)	[i]		OOA Folding