MinT - Information on Result #2246118

Information on Result #2246118

Linear OA(5¹¹², 124, F₅, 78) (dual of [124, 12, 79]-code), using 1 times truncation based on linear OA(5¹¹³, 125, F₅, 79) (dual of [125, 12, 80]-code), using

concatenation of two codes [i] based on
1. linear OA(25¹⁹, 25, F₂₅, 19) (dual of [25, 6, 20]-code or 25-arc in PG(18,25)), using
  - Reedâ€“Solomon code RS(6,25) [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(5¹¹², 62, F₅, 2, 78) (dual of [(62, 2), 12, 79]-NRT-code)	[i]		OOA Folding
2	Linear OOA(5¹¹², 41, F₅, 3, 78) (dual of [(41, 3), 11, 79]-NRT-code)	[i]		OOA Folding