MinT - Information on Result #2246127

Information on Result #2246127

Linear OA(5¹⁰⁰, 114, F₅, 66) (dual of [114, 14, 67]-code), using 1 times truncation based on linear OA(5¹⁰¹, 115, F₅, 67) (dual of [115, 14, 68]-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(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(5¹⁰⁰, 57, F₅, 2, 66) (dual of [(57, 2), 14, 67]-NRT-code)	[i]		OOA Folding
2	Linear OOA(5¹⁰⁰, 38, F₅, 3, 66) (dual of [(38, 3), 14, 67]-NRT-code)	[i]		OOA Folding