Information on Result #678189
Linear OA(4236, 1048611, F4, 31) (dual of [1048611, 1048375, 32]-code), using construction X applied to Ce(30) ⊂ Ce(26) based on
- linear OA(4231, 1048576, F4, 31) (dual of [1048576, 1048345, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4201, 1048576, F4, 27) (dual of [1048576, 1048375, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(45, 35, F4, 3) (dual of [35, 30, 4]-code or 35-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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(4237, 1048612, F4, 31) (dual of [1048612, 1048375, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4236, 524305, F4, 2, 31) (dual of [(524305, 2), 1048374, 32]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4236, 349537, F4, 3, 31) (dual of [(349537, 3), 1048375, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(4236, 69907, F4, 31, 31) (dual of [(69907, 31), 2166881, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |