MinT - Information on Result #2433971

Information on Result #2433971

Linear OOA(3¹⁷⁸, 92, F₃, 2, 130) (dual of [(92, 2), 6, 131]-NRT-code), using strength reduction based on linear OOA(3¹⁷⁸, 92, F₃, 2, 132) (dual of [(92, 2), 6, 133]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(9²⁰, 23, F₉, 18) (dual of [23, 3, 19]-code), using
  - discarding factors / shortening the dual code based on linear OA(9²⁰, 24, F₉, 18) (dual of [24, 4, 19]-code), using
    - a quasi-cyclic code by Bierbrauer and Gulliver [i]
2. linear OOA(3⁶, 4, F₃, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;2,3) [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(3¹⁷⁸, 46, F₃, 4, 130) (dual of [(46, 4), 6, 131]-NRT-code)	[i]		OOA Folding