Information on Result #618556

Linear OA(4940, 117649, F49, 14) (dual of [117649, 117609, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14

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:

ResultThis
result
only		Method
1Linear OA(780, 235298, F7, 14) (dual of [235298, 235218, 15]-code) [i]Trace Code
2Linear OA(4947, 117699, F49, 14) (dual of [117699, 117652, 15]-code) [i](u, u+v)-Construction
3Linear OA(4948, 117702, F49, 14) (dual of [117702, 117654, 15]-code) [i]
4Linear OA(4949, 117704, F49, 14) (dual of [117704, 117655, 15]-code) [i]
5Linear OA(4950, 117747, F49, 14) (dual of [117747, 117697, 15]-code) [i]
6Linear OA(4951, 117799, F49, 14) (dual of [117799, 117748, 15]-code) [i]
7Linear OA(4952, 117890, F49, 14) (dual of [117890, 117838, 15]-code) [i]
8Linear OA(4950, 117749, F49, 14) (dual of [117749, 117699, 15]-code) [i]
9Linear OA(4951, 117661, F49, 14) (dual of [117661, 117610, 15]-code) [i]Generalized (u, u+v)-Construction
10Linear OA(4952, 117664, F49, 14) (dual of [117664, 117612, 15]-code) [i]
11Linear OA(4949, 117659, F49, 14) (dual of [117659, 117610, 15]-code) [i](u, u−v, u+v+w)-Construction
12Linear OA(4950, 117661, F49, 14) (dual of [117661, 117611, 15]-code) [i]
13Linear OA(4951, 117749, F49, 14) (dual of [117749, 117698, 15]-code) [i]
14Linear OA(4952, 117752, F49, 14) (dual of [117752, 117700, 15]-code) [i]
15Linear OA(4943, 117652, F49, 15) (dual of [117652, 117609, 16]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
16Linear OA(4940, 117652, F49, 14) (dual of [117652, 117612, 15]-code) [i]✔
17Linear OA(4947, 117656, F49, 16) (dual of [117656, 117609, 17]-code) [i]✔
18Linear OA(4941, 117656, F49, 14) (dual of [117656, 117615, 15]-code) [i]✔
19Linear OA(4951, 117660, F49, 17) (dual of [117660, 117609, 18]-code) [i]✔
20Linear OA(4942, 117660, F49, 14) (dual of [117660, 117618, 15]-code) [i]✔
21Linear OA(4955, 117664, F49, 18) (dual of [117664, 117609, 19]-code) [i]✔
22Linear OA(4943, 117664, F49, 14) (dual of [117664, 117621, 15]-code) [i]✔
23Linear OA(4944, 117668, F49, 14) (dual of [117668, 117624, 15]-code) [i]✔
24Linear OA(4945, 117672, F49, 14) (dual of [117672, 117627, 15]-code) [i]✔
25Linear OA(4946, 117676, F49, 14) (dual of [117676, 117630, 15]-code) [i]✔
26Linear OOA(4940, 16807, F49, 14, 14) (dual of [(16807, 14), 235258, 15]-NRT-code) [i]OA Folding and Stacking