MinT - Information on Result #2253835

Information on Result #2253835

Linear OA(9¹²⁶, 164, F₉, 72) (dual of [164, 38, 73]-code), using 1 times truncation based on linear OA(9¹²⁷, 165, F₉, 73) (dual of [165, 38, 74]-code), using

concatenation of two codes [i] based on
1. linear OA(81³⁶, 55, F₈₁, 36) (dual of [55, 19, 37]-code or 55-arc in PG(35,81)), using
  - discarding factors / shortening the dual code based on linear OA(81³⁶, 81, F₈₁, 36) (dual of [81, 45, 37]-code or 81-arc in PG(35,81)), using
    - Reedâ€“Solomon code RS(45,81) [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(9¹²⁶, 82, F₉, 2, 72) (dual of [(82, 2), 38, 73]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9¹²⁶, 54, F₉, 3, 72) (dual of [(54, 3), 36, 73]-NRT-code)	[i]		OOA Folding