MinT - Information on Result #2193379

Information on Result #2193379

Linear OA(3¹⁵², 160, F₃, 96) (dual of [160, 8, 97]-code), using strength reduction based on linear OA(3¹⁵², 160, F₃, 98) (dual of [160, 8, 99]-code), using

concatenation of two codes [i] based on
1. linear OA(9³⁶, 40, F₉, 32) (dual of [40, 4, 33]-code), using
  - a quasi-cyclic code by Bierbrauer and Gulliver [i]
2. linear OA(3², 4, F₃, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
  - extended Reedâ€“Solomon code RS_e(2,3) [i]
  - Hamming code H(2,3) [i]
  - Simplex code S(2,3) [i]
  - the Tetracode [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(3¹⁵¹, 159, F₃, 95) (dual of [159, 8, 96]-code)	[i]		Truncation
2	Linear OA(3¹⁵⁰, 158, F₃, 94) (dual of [158, 8, 95]-code)	[i]
3	Linear OA(3¹⁴⁹, 157, F₃, 93) (dual of [157, 8, 94]-code)	[i]
4	Linear OOA(3¹⁵², 32, F₃, 5, 96) (dual of [(32, 5), 8, 97]-NRT-code)	[i]		OOA Folding