MinT - Information on Result #2243696

Information on Result #2243696

Linear OA(4²⁴⁹, 324, F₄, 121) (dual of [324, 75, 122]-code), using 1 times truncation based on linear OA(4²⁵⁰, 325, F₄, 122) (dual of [325, 75, 123]-code), using

concatenation of two codes [i] based on
1. linear OA(64⁴⁰, 65, F₆₄, 40) (dual of [65, 25, 41]-code or 65-arc in PG(39,64)), using
  - extended Reedâ€“Solomon code RS_e(25,64) [i]
2. linear OA(4², 5, F₄, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
  - extended Reedâ€“Solomon code RS_e(3,4) [i]
  - Hamming code H(2,4) [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 OA(4²⁵¹, 326, F₄, 121) (dual of [326, 75, 122]-code)	[i]		Code Embedding in Larger Space
2	Linear OA(4²⁵², 327, F₄, 121) (dual of [327, 75, 122]-code)	[i]		Code Embedding in Larger Space
3	Linear OOA(4²⁴⁹, 162, F₄, 2, 121) (dual of [(162, 2), 75, 122]-NRT-code)	[i]		OOA Folding
4	Linear OOA(4²⁴⁹, 108, F₄, 3, 121) (dual of [(108, 3), 75, 122]-NRT-code)	[i]		OOA Folding