MinT - Information on Result #2253597

Information on Result #2253597

Linear OA(9⁹¹, 137, F₉, 46) (dual of [137, 46, 47]-code), using 1 times truncation based on linear OA(9⁹², 138, F₉, 47) (dual of [138, 46, 48]-code), using

concatenation of two codes [i] based on
1. linear OA(81²³, 46, F₈₁, 23) (dual of [46, 23, 24]-code or 46-arc in PG(22,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²³, 81, F₈₁, 23) (dual of [81, 58, 24]-code or 81-arc in PG(22,81)), using
    - Reedâ€“Solomon code RS(58,81) [i]
2. linear OA(9¹, 3, F₉, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(9¹, s, F₉, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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(9⁹¹, 68, F₉, 2, 46) (dual of [(68, 2), 45, 47]-NRT-code)	[i]		OOA Folding