MinT - Information on Result #2253530

Information on Result #2253530

Linear OA(9⁸⁷, 131, F₉, 44) (dual of [131, 44, 45]-code), using 1 times truncation based on linear OA(9⁸⁸, 132, F₉, 45) (dual of [132, 44, 46]-code), using

concatenation of two codes [i] based on
1. linear OA(81²², 44, F₈₁, 22) (dual of [44, 22, 23]-code or 44-arc in PG(21,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²², 81, F₈₁, 22) (dual of [81, 59, 23]-code or 81-arc in PG(21,81)), using
    - Reedâ€“Solomon code RS(59,81) [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(9⁸⁷, 65, F₉, 2, 44) (dual of [(65, 2), 43, 45]-NRT-code)	[i]		OOA Folding