MinT - Information on Result #2253909

Information on Result #2253909

Linear OA(9¹³⁸, 176, F₉, 80) (dual of [176, 38, 81]-code), using 1 times truncation based on linear OA(9¹³⁹, 177, F₉, 81) (dual of [177, 38, 82]-code), using

concatenation of two codes [i] based on
1. linear OA(81⁴⁰, 59, F₈₁, 40) (dual of [59, 19, 41]-code or 59-arc in PG(39,81)), using
  - discarding factors / shortening the dual code based on linear OA(81⁴⁰, 81, F₈₁, 40) (dual of [81, 41, 41]-code or 81-arc in PG(39,81)), using
    - Reedâ€“Solomon code RS(41,81) [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(9¹³⁸, 88, F₉, 2, 80) (dual of [(88, 2), 38, 81]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9¹³⁸, 58, F₉, 3, 80) (dual of [(58, 3), 36, 81]-NRT-code)	[i]		OOA Folding