MinT - Information on Result #2246728

Information on Result #2246728

Linear OA(5¹²⁴, 142, F₅, 77) (dual of [142, 18, 78]-code), using 2 times truncation based on linear OA(5¹²⁶, 144, F₅, 79) (dual of [144, 18, 80]-code), using

concatenation of two codes [i] based on
1. linear OA(25¹⁵, 24, F₂₅, 15) (dual of [24, 9, 16]-code or 24-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(5⁴, 6, F₅, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
  - extended Reedâ€“Solomon code RS_e(2,5) [i]
  - Simplex code S(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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(5¹²⁴, 71, F₅, 2, 77) (dual of [(71, 2), 18, 78]-NRT-code)	[i]		OOA Folding
2	Linear OOA(5¹²⁴, 47, F₅, 3, 77) (dual of [(47, 3), 17, 78]-NRT-code)	[i]		OOA Folding