Information on Result #975944
Linear OOA(743, 39218, F7, 3, 9) (dual of [(39218, 3), 117611, 10]-NRT-code), using OOA 3-folding based on linear OA(743, 117654, F7, 9) (dual of [117654, 117611, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(743, 117655, F7, 9) (dual of [117655, 117612, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(743, 117649, F7, 9) (dual of [117649, 117606, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(737, 117649, F7, 8) (dual of [117649, 117612, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(70, 6, F7, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
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 OOA(744, 39218, F7, 3, 9) (dual of [(39218, 3), 117610, 10]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(747, 39226, F7, 3, 9) (dual of [(39226, 3), 117631, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(748, 39231, F7, 3, 9) (dual of [(39231, 3), 117645, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(749, 39239, F7, 3, 9) (dual of [(39239, 3), 117668, 10]-NRT-code) | [i] | ||