MinT - Information on Result #2228905

Information on Result #2228905

Linear OA(3¹³⁸, 146, F₃, 87) (dual of [146, 8, 88]-code), using 2 times truncation based on linear OA(3¹⁴⁰, 148, F₃, 89) (dual of [148, 8, 90]-code), using

concatenation of two codes [i] based on
1. linear OA(9³³, 37, F₉, 29) (dual of [37, 4, 30]-code), using
  - 3 times truncation [i] based on 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 OOA(3¹³⁸, 73, F₃, 2, 87) (dual of [(73, 2), 8, 88]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹³⁸, 29, F₃, 5, 87) (dual of [(29, 5), 7, 88]-NRT-code)	[i]		OOA Folding