MinT - Information on Result #2243712

Information on Result #2243712

Linear OA(4²²⁵, 324, F₄, 97) (dual of [324, 99, 98]-code), using 1 times truncation based on linear OA(4²²⁶, 325, F₄, 98) (dual of [325, 99, 99]-code), using

concatenation of two codes [i] based on
1. linear OA(64³², 65, F₆₄, 32) (dual of [65, 33, 33]-code or 65-arc in PG(31,64)), using
  - extended Reedâ€“Solomon code RS_e(33,64) [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(4²²⁷, 326, F₄, 97) (dual of [326, 99, 98]-code)	[i]		Code Embedding in Larger Space
2	Linear OA(4²²⁸, 327, F₄, 97) (dual of [327, 99, 98]-code)	[i]
3	Linear OA(4²²⁹, 328, F₄, 97) (dual of [328, 99, 98]-code)	[i]
4	Linear OA(4²³⁰, 329, F₄, 97) (dual of [329, 99, 98]-code)	[i]
5	Linear OA(4²³¹, 330, F₄, 97) (dual of [330, 99, 98]-code)	[i]
6	Linear OOA(4²²⁵, 162, F₄, 2, 97) (dual of [(162, 2), 99, 98]-NRT-code)	[i]		OOA Folding
7	Linear OOA(4²²⁵, 108, F₄, 3, 97) (dual of [(108, 3), 99, 98]-NRT-code)	[i]		OOA Folding