MinT - Information on Result #2253967

Information on Result #2253967

Linear OA(9¹⁴⁸, 188, F₉, 86) (dual of [188, 40, 87]-code), using 1 times truncation based on linear OA(9¹⁴⁹, 189, F₉, 87) (dual of [189, 40, 88]-code), using

concatenation of two codes [i] based on
1. linear OA(81⁴³, 63, F₈₁, 43) (dual of [63, 20, 44]-code or 63-arc in PG(42,81)), using
  - discarding factors / shortening the dual code based on linear OA(81⁴³, 81, F₈₁, 43) (dual of [81, 38, 44]-code or 81-arc in PG(42,81)), using
    - Reedâ€“Solomon code RS(38,81) [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(9¹⁴⁸, 94, F₉, 2, 86) (dual of [(94, 2), 40, 87]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9¹⁴⁸, 62, F₉, 3, 86) (dual of [(62, 3), 38, 87]-NRT-code)	[i]		OOA Folding