MinT - Information on Result #2253754

Information on Result #2253754

Linear OA(9¹³⁹, 163, F₉, 88) (dual of [163, 24, 89]-code), using 1 times truncation based on linear OA(9¹⁴⁰, 164, F₉, 89) (dual of [164, 24, 90]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁹, 41, F₈₁, 29) (dual of [41, 12, 30]-code or 41-arc in PG(28,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²⁹, 81, F₈₁, 29) (dual of [81, 52, 30]-code or 81-arc in PG(28,81)), using
    - Reedâ€“Solomon code RS(52,81) [i]
2. linear OA(9², 4, F₉, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,9)), using
  - discarding factors / shortening the dual code based on linear OA(9², 9, F₉, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
    - Reedâ€“Solomon code RS(7,9) [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(9¹³⁹, 81, F₉, 2, 88) (dual of [(81, 2), 23, 89]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9¹³⁹, 54, F₉, 3, 88) (dual of [(54, 3), 23, 89]-NRT-code)	[i]		OOA Folding