MinT - Information on Result #2251038

Information on Result #2251038

Linear OA(8¹⁷¹, 189, F₈, 118) (dual of [189, 18, 119]-code), using 1 times truncation based on linear OA(8¹⁷², 190, F₈, 119) (dual of [190, 18, 120]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁹, 38, F₆₄, 29) (dual of [38, 9, 30]-code or 38-arc in PG(28,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁹, 64, F₆₄, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
    - Reedâ€“Solomon code RS(35,64) [i]
2. linear OA(8³, 5, F₈, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,8) or 5-cap in PG(2,8)), using
  - discarding factors / shortening the dual code based on linear OA(8³, 8, F₈, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
    - Reedâ€“Solomon code RS(5,8) [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(8¹⁷³, 191, F₈, 118) (dual of [191, 18, 119]-code)	[i]	Code Embedding in Larger Space
2	Linear OOA(8¹⁷¹, 94, F₈, 2, 118) (dual of [(94, 2), 17, 119]-NRT-code)	[i]	OOA Folding
3	Linear OOA(8¹⁷¹, 63, F₈, 3, 118) (dual of [(63, 3), 18, 119]-NRT-code)	[i]	OOA Folding