MinT - Information on Result #2216709

Information on Result #2216709

Linear OA(9¹⁵⁰, 204, F₉, 82) (dual of [204, 54, 83]-code), using strength reduction based on linear OA(9¹⁵⁰, 204, F₉, 83) (dual of [204, 54, 84]-code), using

concatenation of two codes [i] based on
1. linear OA(81⁴¹, 68, F₈₁, 41) (dual of [68, 27, 42]-code or 68-arc in PG(40,81)), using
  - discarding factors / shortening the dual code based on linear OA(81⁴¹, 81, F₈₁, 41) (dual of [81, 40, 42]-code or 81-arc in PG(40,81)), using
    - Reedâ€“Solomon code RS(40,81) [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(9¹⁵⁰, 102, F₉, 2, 82) (dual of [(102, 2), 54, 83]-NRT-code)	[i]		OOA Folding