MinT - Information on Result #639928

Information on Result #639928

Linear OA(8¹⁶⁸, 180, F₈, 124) (dual of [180, 12, 125]-code), using concatenation of two codes based on

linear OA(64²⁴, 30, F₆₄, 24) (dual of [30, 6, 25]-code or 30-arc in PG(23,64)), using
- discarding factors / shortening the dual code based on linear OA(64²⁴, 64, F₆₄, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
  - Reedâ€“Solomon code RS(40,64) [i]
linear OA(8⁴, 6, F₈, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,8)), using
- discarding factors / shortening the dual code based on linear OA(8⁴, 8, F₈, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
  - Reedâ€“Solomon code RS(4,8) [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(8¹⁶⁷, 179, F₈, 123) (dual of [179, 12, 124]-code)	[i]		Truncation
2	Linear OA(8¹⁶⁶, 178, F₈, 122) (dual of [178, 12, 123]-code)	[i]
3	Linear OA(8¹⁶⁵, 177, F₈, 121) (dual of [177, 12, 122]-code)	[i]
4	Linear OA(8¹⁶⁴, 176, F₈, 120) (dual of [176, 12, 121]-code)	[i]
5	Linear OA(8¹⁶¹, 173, F₈, 117) (dual of [173, 12, 118]-code)	[i]
6	Linear OA(8¹⁶⁰, 172, F₈, 116) (dual of [172, 12, 117]-code)	[i]
7	Linear OA(8¹⁵⁹, 171, F₈, 115) (dual of [171, 12, 116]-code)	[i]
8	Linear OA(8¹⁵⁷, 169, F₈, 113) (dual of [169, 12, 114]-code)	[i]
9	Linear OA(8¹⁵⁵, 167, F₈, 111) (dual of [167, 12, 112]-code)	[i]
10	Linear OA(8¹⁵⁴, 166, F₈, 110) (dual of [166, 12, 111]-code)	[i]
11	Linear OA(8¹⁵², 164, F₈, 108) (dual of [164, 12, 109]-code)	[i]
12	Linear OOA(8¹⁶⁸, 90, F₈, 2, 124) (dual of [(90, 2), 12, 125]-NRT-code)	[i]		OOA Folding
13	Linear OOA(8¹⁶⁸, 60, F₈, 3, 124) (dual of [(60, 3), 12, 125]-NRT-code)	[i]		OOA Folding