MinT - Information on Result #2253699

Information on Result #2253699

Linear OA(9¹³⁶, 158, F₉, 87) (dual of [158, 22, 88]-code), using 2 times truncation based on linear OA(9¹³⁸, 160, F₉, 89) (dual of [160, 22, 90]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁹, 40, F₈₁, 29) (dual of [40, 11, 30]-code or 40-arc in PG(28,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²⁹, 81, F₈₁, 29) (dual of [81, 52, 30]-code or 81-arc in PG(28,81)), using
    - Reedâ€“Solomon code RS(52,81) [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, 79, F₉, 2, 87) (dual of [(79, 2), 22, 88]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9¹³⁶, 52, F₉, 3, 87) (dual of [(52, 3), 20, 88]-NRT-code)	[i]		OOA Folding