MinT - Information on Result #1100931

Information on Result #1100931

Linear OOA(3¹⁹⁶, 4194301, F₃, 5, 13) (dual of [(4194301, 5), 20971309, 14]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁹⁶, 8388602, F₃, 3, 13) (dual of [(8388602, 3), 25165610, 14]-NRT-code), using

trace code [i] based on linear OOA(9⁹⁸, 4194301, F₉, 3, 13) (dual of [(4194301, 3), 12582805, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(9⁹⁸, 8388602, F₉, 2, 13) (dual of [(8388602, 2), 16777106, 14]-NRT-code), using
  - trace code [i] based on linear OOA(81⁴⁹, 4194301, F₈₁, 2, 13) (dual of [(4194301, 2), 8388553, 14]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(81⁴⁹, 8388602, F₈₁, 13) (dual of [8388602, 8388553, 14]-code), using
      - discarding factors / shortening the dual code based on linear OA(81⁴⁹, large, F₈₁, 13) (dual of [large, large−49, 14]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 81⁸âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [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(3²⁰², 4194305, F₃, 5, 13) (dual of [(4194305, 5), 20971323, 14]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(3²⁰³, 4194308, F₃, 5, 13) (dual of [(4194308, 5), 20971337, 14]-NRT-code)	[i]
3	Linear OOA(3²⁰⁴, 4194310, F₃, 5, 13) (dual of [(4194310, 5), 20971346, 14]-NRT-code)	[i]
4	Linear OOA(3²⁰⁵, 4194314, F₃, 5, 13) (dual of [(4194314, 5), 20971365, 14]-NRT-code)	[i]
5	Linear OOA(3²⁰⁶, 4194320, F₃, 5, 13) (dual of [(4194320, 5), 20971394, 14]-NRT-code)	[i]
6	Linear OOA(3²⁰⁷, 4194326, F₃, 5, 13) (dual of [(4194326, 5), 20971423, 14]-NRT-code)	[i]
7	Linear OOA(3²⁰⁸, 4194334, F₃, 5, 13) (dual of [(4194334, 5), 20971462, 14]-NRT-code)	[i]
8	Linear OOA(3²⁰⁹, 4194343, F₃, 5, 13) (dual of [(4194343, 5), 20971506, 14]-NRT-code)	[i]
9	Linear OOA(3²¹², 4194347, F₃, 5, 13) (dual of [(4194347, 5), 20971523, 14]-NRT-code)	[i]
10	Linear OOA(3²¹³, 4194354, F₃, 5, 13) (dual of [(4194354, 5), 20971557, 14]-NRT-code)	[i]
11	Linear OOA(3²¹⁴, 4194385, F₃, 5, 13) (dual of [(4194385, 5), 20971711, 14]-NRT-code)	[i]
12	Linear OOA(3²¹⁶, 4194391, F₃, 5, 13) (dual of [(4194391, 5), 20971739, 14]-NRT-code)	[i]
13	Linear OOA(3²¹⁷, 4194415, F₃, 5, 13) (dual of [(4194415, 5), 20971858, 14]-NRT-code)	[i]
14	Linear OOA(3²¹⁸, 4194465, F₃, 5, 13) (dual of [(4194465, 5), 20972107, 14]-NRT-code)	[i]
15	Linear OOA(3²²⁰, 4194629, F₃, 5, 13) (dual of [(4194629, 5), 20972925, 14]-NRT-code)	[i]
16	Linear OOA(3²²³, 4194665, F₃, 5, 13) (dual of [(4194665, 5), 20973102, 14]-NRT-code)	[i]
17	Linear OOA(3²²⁴, 4195030, F₃, 5, 13) (dual of [(4195030, 5), 20974926, 14]-NRT-code)	[i]
18	Linear OOA(3²²⁵, 4195032, F₃, 5, 13) (dual of [(4195032, 5), 20974935, 14]-NRT-code)	[i]
19	Linear OOA(3²²⁶, 4195035, F₃, 5, 13) (dual of [(4195035, 5), 20974949, 14]-NRT-code)	[i]
20	Linear OOA(3²²⁸, 4196488, F₃, 5, 13) (dual of [(4196488, 5), 20982212, 14]-NRT-code)	[i]
21	Linear OOA(3²²⁹, 4196491, F₃, 5, 13) (dual of [(4196491, 5), 20982226, 14]-NRT-code)	[i]
22	Linear OOA(3²³⁰, 4196494, F₃, 5, 13) (dual of [(4196494, 5), 20982240, 14]-NRT-code)	[i]
23	Linear OOA(3²³¹, 4197581, F₃, 5, 13) (dual of [(4197581, 5), 20987674, 14]-NRT-code)	[i]
24	Linear OOA(3²³², 4200862, F₃, 5, 13) (dual of [(4200862, 5), 21004078, 14]-NRT-code)	[i]