MinT - Information on Result #2253394

Information on Result #2253394

Linear OA(9¹⁴², 154, F₉, 102) (dual of [154, 12, 103]-code), using 2 times truncation based on linear OA(9¹⁴⁴, 156, F₉, 104) (dual of [156, 12, 105]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁰, 26, F₈₁, 20) (dual of [26, 6, 21]-code or 26-arc in PG(19,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²⁰, 81, F₈₁, 20) (dual of [81, 61, 21]-code or 81-arc in PG(19,81)), using
    - Reedâ€“Solomon code RS(61,81) [i]
2. linear OA(9⁴, 6, F₉, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,9)), using
  - discarding factors / shortening the dual code based on linear OA(9⁴, 9, F₉, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using
    - Reedâ€“Solomon code RS(5,9) [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(9¹⁴², 77, F₉, 2, 102) (dual of [(77, 2), 12, 103]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9¹⁴², 51, F₉, 3, 102) (dual of [(51, 3), 11, 103]-NRT-code)	[i]		OOA Folding