MinT - Information on Result #639881

Information on Result #639881

Linear OA(8¹⁷², 190, F₈, 119) (dual of [190, 18, 120]-code), using concatenation of two codes based on

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]
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.

None.

The following results depend on this result:

	Result		Method
1	Linear OA(8¹⁷², 190, F₈, 118) (dual of [190, 18, 119]-code)	[i]	Strength Reduction
2	Linear OA(8¹⁷², 190, F₈, 117) (dual of [190, 18, 118]-code)	[i]	Strength Reduction
3	Linear OA(8¹⁷³, 191, F₈, 119) (dual of [191, 18, 120]-code)	[i]	Code Embedding in Larger Space
4	Linear OA(8¹⁷¹, 189, F₈, 118) (dual of [189, 18, 119]-code)	[i]	Truncation
5	Linear OA(8¹⁷⁰, 188, F₈, 117) (dual of [188, 18, 118]-code)	[i]
6	Linear OA(8¹⁶⁹, 187, F₈, 116) (dual of [187, 18, 117]-code)	[i]
7	Linear OA(8¹⁶⁸, 186, F₈, 115) (dual of [186, 18, 116]-code)	[i]
8	Linear OA(8¹⁶⁵, 183, F₈, 112) (dual of [183, 18, 113]-code)	[i]
9	Linear OA(8¹⁶⁴, 182, F₈, 111) (dual of [182, 18, 112]-code)	[i]
10	Linear OA(8¹⁶³, 181, F₈, 110) (dual of [181, 18, 111]-code)	[i]
11	Linear OA(8¹⁶¹, 179, F₈, 108) (dual of [179, 18, 109]-code)	[i]
12	Linear OOA(8¹⁷², 95, F₈, 2, 119) (dual of [(95, 2), 18, 120]-NRT-code)	[i]	OOA Folding
13	Linear OOA(8¹⁷², 63, F₈, 3, 119) (dual of [(63, 3), 17, 120]-NRT-code)	[i]	OOA Folding