MinT - Information on Result #2243022

Information on Result #2243022

Linear OA(4²⁵⁵, 297, F₄, 144) (dual of [297, 42, 145]-code), using 3 times truncation based on linear OA(4²⁵⁸, 300, F₄, 147) (dual of [300, 42, 148]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁶, 50, F₆₄, 36) (dual of [50, 14, 37]-code or 50-arc in PG(35,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³⁶, 64, F₆₄, 36) (dual of [64, 28, 37]-code or 64-arc in PG(35,64)), using
    - Reedâ€“Solomon code RS(28,64) [i]
2. linear OA(4³, 6, F₄, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
  - hyperoval in PG(2,Â 4) [i]
  - the Hexacode [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(4²⁵⁹, 301, F₄, 144) (dual of [301, 42, 145]-code)	[i]	Code Embedding in Larger Space
2	Linear OA(4²⁶⁰, 302, F₄, 144) (dual of [302, 42, 145]-code)	[i]	Code Embedding in Larger Space
3	Linear OOA(4²⁵⁵, 148, F₄, 2, 144) (dual of [(148, 2), 41, 145]-NRT-code)	[i]	OOA Folding
4	Linear OOA(4²⁵⁵, 99, F₄, 3, 144) (dual of [(99, 3), 42, 145]-NRT-code)	[i]	OOA Folding