MinT - Information on Result #2253605

Information on Result #2253605

Linear OA(9¹³⁶, 154, F₉, 90) (dual of [154, 18, 91]-code), using 2 times truncation based on linear OA(9¹³⁸, 156, F₉, 92) (dual of [156, 18, 93]-code), using

concatenation of two codes [i] based on
1. linear OA(81³⁰, 39, F₈₁, 30) (dual of [39, 9, 31]-code or 39-arc in PG(29,81)), using
  - discarding factors / shortening the dual code based on linear OA(81³⁰, 81, F₈₁, 30) (dual of [81, 51, 31]-code or 81-arc in PG(29,81)), using
    - Reedâ€“Solomon code RS(51,81) [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(9¹³⁶, 77, F₉, 2, 90) (dual of [(77, 2), 18, 91]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9¹³⁶, 51, F₉, 3, 90) (dual of [(51, 3), 17, 91]-NRT-code)	[i]		OOA Folding