MinT - Information on Result #2250010

Information on Result #2250010

Linear OA(8¹⁶⁸, 174, F₈, 136) (dual of [174, 6, 137]-code), using 2 times truncation based on linear OA(8¹⁷⁰, 176, F₈, 138) (dual of [176, 6, 139]-code), using

strength reduction [i] 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 OOA(8¹⁶⁸, 87, F₈, 2, 136) (dual of [(87, 2), 6, 137]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹⁶⁸, 58, F₈, 3, 136) (dual of [(58, 3), 6, 137]-NRT-code)	[i]		OOA Folding