MinT - Information on Result #2249966

Information on Result #2249966

Linear OA(8¹⁶⁹, 175, F₈, 138) (dual of [175, 6, 139]-code), using 1 times truncation based on linear OA(8¹⁷⁰, 176, F₈, 139) (dual of [176, 6, 140]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹⁹, 22, F₆₄, 19) (dual of [22, 3, 20]-code or 22-arc in PG(18,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹⁹, 64, F₆₄, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
    - Reedâ€“Solomon code RS(45,64) [i]
2. linear OA(8⁶, 8, F₈, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,8)), using
  - Reedâ€“Solomon code RS(2,8) [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		This result only	Method
1	Linear OA(8¹⁷¹, 177, F₈, 138) (dual of [177, 6, 139]-code)	[i]		Code Embedding in Larger Space
2	Linear OA(8¹⁷², 178, F₈, 138) (dual of [178, 6, 139]-code)	[i]
3	Linear OA(8¹⁷³, 179, F₈, 138) (dual of [179, 6, 139]-code)	[i]
4	Linear OOA(8¹⁶⁹, 87, F₈, 2, 138) (dual of [(87, 2), 5, 139]-NRT-code)	[i]		OOA Folding
5	Linear OOA(8¹⁶⁹, 58, F₈, 3, 138) (dual of [(58, 3), 5, 139]-NRT-code)	[i]		OOA Folding