MinT - Information on Result #2253776

Information on Result #2253776

Linear OA(9¹⁴⁹, 171, F₉, 97) (dual of [171, 22, 98]-code), using 1 times truncation based on linear OA(9¹⁵⁰, 172, F₉, 98) (dual of [172, 22, 99]-code), using

concatenation of two codes [i] based on
1. linear OA(81³², 43, F₈₁, 32) (dual of [43, 11, 33]-code or 43-arc in PG(31,81)), using
  - discarding factors / shortening the dual code based on linear OA(81³², 81, F₈₁, 32) (dual of [81, 49, 33]-code or 81-arc in PG(31,81)), using
    - Reedâ€“Solomon code RS(49,81) [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(9¹⁴⁹, 85, F₉, 2, 97) (dual of [(85, 2), 21, 98]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9¹⁴⁹, 57, F₉, 3, 97) (dual of [(57, 3), 22, 98]-NRT-code)	[i]		OOA Folding