MinT - Information on Result #2243704

Information on Result #2243704

Linear OA(4²³⁷, 324, F₄, 109) (dual of [324, 87, 110]-code), using 1 times truncation based on linear OA(4²³⁸, 325, F₄, 110) (dual of [325, 87, 111]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁶, 65, F₆₄, 36) (dual of [65, 29, 37]-code or 65-arc in PG(35,64)), using
  - extended Reedâ€“Solomon code RS_e(29,64) [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(4²³⁹, 326, F₄, 109) (dual of [326, 87, 110]-code)	[i]		Code Embedding in Larger Space
2	Linear OA(4²⁴⁰, 327, F₄, 109) (dual of [327, 87, 110]-code)	[i]
3	Linear OA(4²⁴¹, 328, F₄, 109) (dual of [328, 87, 110]-code)	[i]
4	Linear OA(4²⁴², 329, F₄, 109) (dual of [329, 87, 110]-code)	[i]
5	Linear OA(4²⁴³, 330, F₄, 109) (dual of [330, 87, 110]-code)	[i]
6	Linear OOA(4²³⁷, 162, F₄, 2, 109) (dual of [(162, 2), 87, 110]-NRT-code)	[i]		OOA Folding
7	Linear OOA(4²³⁷, 108, F₄, 3, 109) (dual of [(108, 3), 87, 110]-NRT-code)	[i]		OOA Folding