Information on Result #680545
Linear OA(487, 1035, F4, 23) (dual of [1035, 948, 24]-code), using construction X applied to Ce(22) ⊂ Ce(20) based on
- linear OA(486, 1024, F4, 23) (dual of [1024, 938, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(476, 1024, F4, 21) (dual of [1024, 948, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(41, 11, F4, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 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(487, 830, F4, 2, 23) (dual of [(830, 2), 1573, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(487, 830, F4, 3, 23) (dual of [(830, 3), 2403, 24]-NRT-code) | [i] | ||
| 3 | Digital (64, 87, 830)-net over F4 | [i] | ||
| 4 | Linear OOA(487, 517, F4, 2, 23) (dual of [(517, 2), 947, 24]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(487, 345, F4, 3, 23) (dual of [(345, 3), 948, 24]-NRT-code) | [i] | ||