Information on Result #678214
Linear OA(4229, 1048624, F4, 30) (dual of [1048624, 1048395, 31]-code), using construction X applied to Ce(29) ⊂ Ce(24) based on
- linear OA(4221, 1048576, F4, 30) (dual of [1048576, 1048355, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4181, 1048576, F4, 25) (dual of [1048576, 1048395, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(48, 48, F4, 4) (dual of [48, 40, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(48, 85, F4, 4) (dual of [85, 77, 5]-code), 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 OA(4230, 1048625, F4, 30) (dual of [1048625, 1048395, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4231, 1048626, F4, 30) (dual of [1048626, 1048395, 31]-code) | [i] | ||
| 3 | Linear OA(4232, 1048627, F4, 30) (dual of [1048627, 1048395, 31]-code) | [i] | ||
| 4 | Linear OA(4233, 1048628, F4, 30) (dual of [1048628, 1048395, 31]-code) | [i] | ||
| 5 | Linear OA(4233, 1048629, F4, 30) (dual of [1048629, 1048396, 31]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(4229, 524312, F4, 2, 30) (dual of [(524312, 2), 1048395, 31]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4229, 349541, F4, 3, 30) (dual of [(349541, 3), 1048394, 31]-NRT-code) | [i] | ||
| 8 | Linear OOA(4229, 69908, F4, 30, 30) (dual of [(69908, 30), 2097011, 31]-NRT-code) | [i] | OA Folding and Stacking | |