MinT - Information on Result #639948

Information on Result #639948

Linear OA(8¹⁴⁶, 154, F₈, 113) (dual of [154, 8, 114]-code), using concatenation of two codes based on

linear OA(64¹⁸, 22, F₆₄, 18) (dual of [22, 4, 19]-code or 22-arc in PG(17,64)), using
- discarding factors / shortening the dual code based on linear OA(64¹⁸, 64, F₆₄, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), using
  - Reedâ€“Solomon code RS(46,64) [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(8¹⁴⁶, 154, F₈, 112) (dual of [154, 8, 113]-code)	[i]		Strength Reduction
2	Linear OA(8¹⁴⁶, 154, F₈, 111) (dual of [154, 8, 112]-code)	[i]
3	Linear OA(8¹⁴⁶, 154, F₈, 110) (dual of [154, 8, 111]-code)	[i]
4	Linear OA(8¹⁴⁵, 153, F₈, 112) (dual of [153, 8, 113]-code)	[i]		Truncation
5	Linear OA(8¹⁴⁴, 152, F₈, 111) (dual of [152, 8, 112]-code)	[i]
6	Linear OA(8¹⁴³, 151, F₈, 110) (dual of [151, 8, 111]-code)	[i]
7	Linear OA(8¹⁴¹, 149, F₈, 108) (dual of [149, 8, 109]-code)	[i]
8	Linear OA(8¹⁴⁰, 148, F₈, 107) (dual of [148, 8, 108]-code)	[i]
9	Linear OA(8¹³⁸, 146, F₈, 105) (dual of [146, 8, 106]-code)	[i]
10	Linear OA(8¹³⁷, 145, F₈, 104) (dual of [145, 8, 105]-code)	[i]
11	Linear OOA(8¹⁴⁶, 77, F₈, 2, 113) (dual of [(77, 2), 8, 114]-NRT-code)	[i]		OOA Folding
12	Linear OOA(8¹⁴⁶, 51, F₈, 3, 113) (dual of [(51, 3), 7, 114]-NRT-code)	[i]		OOA Folding