Information on Result #731046
Linear OA(770, 235312, F7, 12) (dual of [235312, 235242, 13]-code), using trace code based on linear OA(4935, 117656, F49, 12) (dual of [117656, 117621, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(4934, 117649, F49, 12) (dual of [117649, 117615, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(4928, 117649, F49, 10) (dual of [117649, 117621, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(491, 7, F49, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(770, 235312, F7, 2, 12) (dual of [(235312, 2), 470554, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(770, 235312, F7, 3, 12) (dual of [(235312, 3), 705866, 13]-NRT-code) | [i] | ||
| 3 | Digital (58, 70, 235312)-net over F7 | [i] | ||
| 4 | Linear OOA(770, 117656, F7, 2, 12) (dual of [(117656, 2), 235242, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(770, 78437, F7, 3, 12) (dual of [(78437, 3), 235241, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(770, 39218, F7, 12, 12) (dual of [(39218, 12), 470546, 13]-NRT-code) | [i] | OA Folding and Stacking | |