MinT - Information on Result #639955

Information on Result #639955

Linear OA(8¹⁶⁰, 168, F₈, 125) (dual of [168, 8, 126]-code), using concatenation of two codes based on

linear OA(64²⁰, 24, F₆₄, 20) (dual of [24, 4, 21]-code or 24-arc in PG(19,64)), using
- discarding factors / shortening the dual code based on linear OA(64²⁰, 64, F₆₄, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
  - Reedâ€“Solomon code RS(44,64) [i]
linear OA(8⁵, 7, F₈, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,8)), using
- discarding factors / shortening the dual code based on linear OA(8⁵, 8, F₈, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
  - Reedâ€“Solomon code RS(3,8) [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(8¹⁵⁹, 167, F₈, 124) (dual of [167, 8, 125]-code)	[i]		Truncation
2	Linear OA(8¹⁵⁸, 166, F₈, 123) (dual of [166, 8, 124]-code)	[i]
3	Linear OA(8¹⁵⁷, 165, F₈, 122) (dual of [165, 8, 123]-code)	[i]
4	Linear OA(8¹⁵⁶, 164, F₈, 121) (dual of [164, 8, 122]-code)	[i]
5	Linear OA(8¹⁵⁵, 163, F₈, 120) (dual of [163, 8, 121]-code)	[i]
6	Linear OA(8¹⁵², 160, F₈, 117) (dual of [160, 8, 118]-code)	[i]
7	Linear OA(8¹⁵¹, 159, F₈, 116) (dual of [159, 8, 117]-code)	[i]
8	Linear OA(8¹⁵⁰, 158, F₈, 115) (dual of [158, 8, 116]-code)	[i]
9	Linear OA(8¹⁴⁹, 157, F₈, 114) (dual of [157, 8, 115]-code)	[i]
10	Linear OA(8¹⁴⁷, 155, F₈, 112) (dual of [155, 8, 113]-code)	[i]
11	Linear OA(8¹⁴⁵, 153, F₈, 110) (dual of [153, 8, 111]-code)	[i]
12	Linear OA(8¹⁴⁴, 152, F₈, 109) (dual of [152, 8, 110]-code)	[i]
13	Linear OA(8¹⁴³, 151, F₈, 108) (dual of [151, 8, 109]-code)	[i]
14	Linear OOA(8¹⁶⁰, 84, F₈, 2, 125) (dual of [(84, 2), 8, 126]-NRT-code)	[i]		OOA Folding
15	Linear OOA(8¹⁶⁰, 56, F₈, 3, 125) (dual of [(56, 3), 8, 126]-NRT-code)	[i]		OOA Folding