MinT - Information on Result #2216587

Information on Result #2216587

Linear OA(9¹⁴⁶, 168, F₉, 94) (dual of [168, 22, 95]-code), using strength reduction based on linear OA(9¹⁴⁶, 168, F₉, 95) (dual of [168, 22, 96]-code), using

concatenation of two codes [i] based on
1. linear OA(81³¹, 42, F₈₁, 31) (dual of [42, 11, 32]-code or 42-arc in PG(30,81)), using
  - discarding factors / shortening the dual code based on linear OA(81³¹, 81, F₈₁, 31) (dual of [81, 50, 32]-code or 81-arc in PG(30,81)), using
    - Reedâ€“Solomon code RS(50,81) [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(9¹⁴⁶, 84, F₉, 2, 94) (dual of [(84, 2), 22, 95]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9¹⁴⁶, 56, F₉, 3, 94) (dual of [(56, 3), 22, 95]-NRT-code)	[i]		OOA Folding