MinT - Information on Result #2253758

Information on Result #2253758

Linear OA(9¹³³, 159, F₉, 82) (dual of [159, 26, 83]-code), using 1 times truncation based on linear OA(9¹³⁴, 160, F₉, 83) (dual of [160, 26, 84]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁷, 40, F₈₁, 27) (dual of [40, 13, 28]-code or 40-arc in PG(26,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²⁷, 81, F₈₁, 27) (dual of [81, 54, 28]-code or 81-arc in PG(26,81)), using
    - Reedâ€“Solomon code RS(54,81) [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(9¹³³, 79, F₉, 2, 82) (dual of [(79, 2), 25, 83]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9¹³³, 53, F₉, 3, 82) (dual of [(53, 3), 26, 83]-NRT-code)	[i]		OOA Folding