Information on Result #1307496
Linear OA(434, 298, F4, 10) (dual of [298, 264, 11]-code), using 33 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 8 times 0, 1, 16 times 0) based on linear OA(429, 260, F4, 10) (dual of [260, 231, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(429, 256, F4, 10) (dual of [256, 227, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(425, 256, F4, 9) (dual of [256, 231, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: 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(434, 298, F4, 2, 10) (dual of [(298, 2), 562, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(434, 298, F4, 3, 10) (dual of [(298, 3), 860, 11]-NRT-code) | [i] | ||
| 3 | Digital (24, 34, 298)-net over F4 | [i] | ||