MinT - Information on Result #1101009

Information on Result #1101009

Linear OOA(3²¹², 4194301, F₃, 5, 14) (dual of [(4194301, 5), 20971293, 15]-NRT-code), using OOA 2-folding based on linear OOA(3²¹², 8388602, F₃, 3, 14) (dual of [(8388602, 3), 25165594, 15]-NRT-code), using

trace code [i] based on linear OOA(9¹⁰⁶, 4194301, F₉, 3, 14) (dual of [(4194301, 3), 12582797, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(9¹⁰⁶, 8388602, F₉, 2, 14) (dual of [(8388602, 2), 16777098, 15]-NRT-code), using
  - trace code [i] based on linear OOA(81⁵³, 4194301, F₈₁, 2, 14) (dual of [(4194301, 2), 8388549, 15]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(81⁵³, 8388602, F₈₁, 14) (dual of [8388602, 8388549, 15]-code), using
      - discarding factors / shortening the dual code based on linear OA(81⁵³, large, F₈₁, 14) (dual of [large, large−53, 15]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 81⁴âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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(3²¹⁹, 4194305, F₃, 5, 14) (dual of [(4194305, 5), 20971306, 15]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(3²²⁰, 4194308, F₃, 5, 14) (dual of [(4194308, 5), 20971320, 15]-NRT-code)	[i]
3	Linear OOA(3²²¹, 4194310, F₃, 5, 14) (dual of [(4194310, 5), 20971329, 15]-NRT-code)	[i]
4	Linear OOA(3²²², 4194312, F₃, 5, 14) (dual of [(4194312, 5), 20971338, 15]-NRT-code)	[i]
5	Linear OOA(3²²³, 4194316, F₃, 5, 14) (dual of [(4194316, 5), 20971357, 15]-NRT-code)	[i]
6	Linear OOA(3²²⁴, 4194321, F₃, 5, 14) (dual of [(4194321, 5), 20971381, 15]-NRT-code)	[i]
7	Linear OOA(3²²⁵, 4194327, F₃, 5, 14) (dual of [(4194327, 5), 20971410, 15]-NRT-code)	[i]
8	Linear OOA(3²²⁶, 4194335, F₃, 5, 14) (dual of [(4194335, 5), 20971449, 15]-NRT-code)	[i]
9	Linear OOA(3²²⁹, 4194341, F₃, 5, 14) (dual of [(4194341, 5), 20971476, 15]-NRT-code)	[i]
10	Linear OOA(3²³⁰, 4194347, F₃, 5, 14) (dual of [(4194347, 5), 20971505, 15]-NRT-code)	[i]
11	Linear OOA(3²³¹, 4194355, F₃, 5, 14) (dual of [(4194355, 5), 20971544, 15]-NRT-code)	[i]
12	Linear OOA(3²³², 4194369, F₃, 5, 14) (dual of [(4194369, 5), 20971613, 15]-NRT-code)	[i]
13	Linear OOA(3²³³, 4194385, F₃, 5, 14) (dual of [(4194385, 5), 20971692, 15]-NRT-code)	[i]
14	Linear OOA(3²³⁶, 4194415, F₃, 5, 14) (dual of [(4194415, 5), 20971839, 15]-NRT-code)	[i]
15	Linear OOA(3²³⁷, 4194544, F₃, 5, 14) (dual of [(4194544, 5), 20972483, 15]-NRT-code)	[i]
16	Linear OOA(3²³⁸, 4194546, F₃, 5, 14) (dual of [(4194546, 5), 20972492, 15]-NRT-code)	[i]
17	Linear OOA(3²³⁹, 4194548, F₃, 5, 14) (dual of [(4194548, 5), 20972501, 15]-NRT-code)	[i]
18	Linear OOA(3²⁴⁰, 4194665, F₃, 5, 14) (dual of [(4194665, 5), 20973085, 15]-NRT-code)	[i]
19	Linear OOA(3²⁴¹, 4195030, F₃, 5, 14) (dual of [(4195030, 5), 20974909, 15]-NRT-code)	[i]
20	Linear OOA(3²⁴², 4195032, F₃, 5, 14) (dual of [(4195032, 5), 20974918, 15]-NRT-code)	[i]
21	Linear OOA(3²⁴³, 4195033, F₃, 5, 14) (dual of [(4195033, 5), 20974922, 15]-NRT-code)	[i]
22	Linear OOA(3²⁴⁴, 4195034, F₃, 5, 14) (dual of [(4195034, 5), 20974926, 15]-NRT-code)	[i]
23	Linear OOA(3²⁴⁵, 4196488, F₃, 5, 14) (dual of [(4196488, 5), 20982195, 15]-NRT-code)	[i]
24	Linear OOA(3²⁴⁶, 4196491, F₃, 5, 14) (dual of [(4196491, 5), 20982209, 15]-NRT-code)	[i]
25	Linear OOA(3²⁴⁸, 4197581, F₃, 5, 14) (dual of [(4197581, 5), 20987657, 15]-NRT-code)	[i]
26	Linear OOA(3²⁴⁹, 4200862, F₃, 5, 14) (dual of [(4200862, 5), 21004061, 15]-NRT-code)	[i]