MinT - Information on Result #2207247

Information on Result #2207247

Linear OA(4²³⁷, 300, F₄, 118) (dual of [300, 63, 119]-code), using strength reduction based on linear OA(4²³⁷, 300, F₄, 119) (dual of [300, 63, 120]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁹, 60, F₆₄, 39) (dual of [60, 21, 40]-code or 60-arc in PG(38,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³⁹, 64, F₆₄, 39) (dual of [64, 25, 40]-code or 64-arc in PG(38,64)), using
    - Reedâ€“Solomon code RS(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		Method
1	Linear OA(4²³⁶, 299, F₄, 117) (dual of [299, 63, 118]-code)	[i]	Truncation
2	Linear OOA(4²³⁷, 150, F₄, 2, 118) (dual of [(150, 2), 63, 119]-NRT-code)	[i]	OOA Folding
3	Linear OOA(4²³⁷, 100, F₄, 3, 118) (dual of [(100, 3), 63, 119]-NRT-code)	[i]	OOA Folding