MinT - Information on Result #2198587

Information on Result #2198587

Linear OA(3²³⁶, 288, F₃, 98) (dual of [288, 52, 99]-code), using strength reduction based on linear OA(3²³⁶, 288, F₃, 99) (dual of [288, 52, 100]-code), using

concatenation of two codes [i] based on
1. linear OA(81¹⁹, 32, F₈₁, 19) (dual of [32, 13, 20]-code or 32-arc in PG(18,81)), using
  - discarding factors / shortening the dual code based on linear OA(81¹⁹, 81, F₈₁, 19) (dual of [81, 62, 20]-code or 81-arc in PG(18,81)), using
    - Reedâ€“Solomon code RS(62,81) [i]
2. linear OA(3⁵, 9, F₃, 4) (dual of [9, 4, 5]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁵, 11, F₃, 4) (dual of [11, 6, 5]-code), using
    - Golay code G(3) [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(3²³⁶, 144, F₃, 2, 98) (dual of [(144, 2), 52, 99]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²³⁶, 96, F₃, 3, 98) (dual of [(96, 3), 52, 99]-NRT-code)	[i]		OOA Folding