MinT - Information on Result #2434450

Information on Result #2434450

Linear OOA(3¹⁸⁸, 100, F₃, 2, 128) (dual of [(100, 2), 12, 129]-NRT-code), using strength reduction based on linear OOA(3¹⁸⁸, 100, F₃, 2, 131) (dual of [(100, 2), 12, 132]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27²¹, 25, F₂₇, 21) (dual of [25, 4, 22]-code or 25-arc in PG(20,27)), using
  - discarding factors / shortening the dual code based on linear OA(27²¹, 27, F₂₇, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,27)), using
    - Reedâ€“Solomon code RS(6,27) [i]
2. linear OOA(3⁵, 4, F₃, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;3,3) [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(3¹⁸⁸, 50, F₃, 4, 128) (dual of [(50, 4), 12, 129]-NRT-code)	[i]		OOA Folding