MinT - Information on Result #2253663

Information on Result #2253663

Linear OA(9¹⁴⁴, 162, F₉, 96) (dual of [162, 18, 97]-code), using 3 times truncation based on linear OA(9¹⁴⁷, 165, F₉, 99) (dual of [165, 18, 100]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁴, 33, F₈₁, 24) (dual of [33, 9, 25]-code or 33-arc in PG(23,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²⁴, 81, F₈₁, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), using
    - Reedâ€“Solomon code RS(57,81) [i]
2. linear OA(9³, 5, F₉, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,9) or 5-cap in PG(2,9)), using
  - discarding factors / shortening the dual code based on linear OA(9³, 9, F₉, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
    - Reedâ€“Solomon code RS(6,9) [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(9¹⁴⁴, 81, F₉, 2, 96) (dual of [(81, 2), 18, 97]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9¹⁴⁴, 54, F₉, 3, 96) (dual of [(54, 3), 18, 97]-NRT-code)	[i]		OOA Folding