MinT - Information on Result #1059590

Information on Result #1059590

Linear OOA(3¹¹⁴, 2391484, F₃, 4, 10) (dual of [(2391484, 4), 9565822, 11]-NRT-code), using OOA 2-folding based on linear OOA(3¹¹⁴, 4782968, F₃, 2, 10) (dual of [(4782968, 2), 9565822, 11]-NRT-code), using

trace code [i] based on linear OOA(9⁵⁷, 2391484, F₉, 2, 10) (dual of [(2391484, 2), 4782911, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9⁵⁷, 4782968, F₉, 10) (dual of [4782968, 4782911, 11]-code), using
  - discarding factors / shortening the dual code based on linear OA(9⁵⁷, 4782969, F₉, 10) (dual of [4782969, 4782912, 11]-code), using
    - an extension C_e(9) of the primitive narrow-sense BCH-code C(I) with length 4782968Â = 9⁷âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(3¹¹⁵, 2391484, F₃, 4, 10) (dual of [(2391484, 4), 9565821, 11]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(3¹²¹, 2391495, F₃, 4, 10) (dual of [(2391495, 4), 9565859, 11]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Linear OOA(3¹²², 2391502, F₃, 4, 10) (dual of [(2391502, 4), 9565886, 11]-NRT-code)	[i]
4	Linear OOA(3¹²³, 2391512, F₃, 4, 10) (dual of [(2391512, 4), 9565925, 11]-NRT-code)	[i]
5	Linear OOA(3¹²⁴, 2391522, F₃, 4, 10) (dual of [(2391522, 4), 9565964, 11]-NRT-code)	[i]
6	Linear OOA(3¹²⁵, 2391561, F₃, 4, 10) (dual of [(2391561, 4), 9566119, 11]-NRT-code)	[i]
7	Linear OOA(3¹²⁶, 2391579, F₃, 4, 10) (dual of [(2391579, 4), 9566190, 11]-NRT-code)	[i]
8	Linear OOA(3¹²⁷, 2391587, F₃, 4, 10) (dual of [(2391587, 4), 9566221, 11]-NRT-code)	[i]
9	Linear OOA(3¹²⁹, 2391601, F₃, 4, 10) (dual of [(2391601, 4), 9566275, 11]-NRT-code)	[i]