Information on Result #1433123
Linear OOA(4238, 229032, F4, 2, 32) (dual of [(229032, 2), 457826, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4238, 229032, F4, 32) (dual of [229032, 228794, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(4238, 262228, F4, 32) (dual of [262228, 261990, 33]-code), using
- 1 times truncation [i] based on linear OA(4239, 262229, F4, 33) (dual of [262229, 261990, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(22) [i] based on
- linear OA(4217, 262144, F4, 33) (dual of [262144, 261927, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4154, 262144, F4, 23) (dual of [262144, 261990, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-code), using
- construction X applied to Ce(32) ⊂ Ce(22) [i] based on
- 1 times truncation [i] based on linear OA(4239, 262229, F4, 33) (dual of [262229, 261990, 34]-code), 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(4238, 114516, F4, 3, 32) (dual of [(114516, 3), 343310, 33]-NRT-code) | [i] | OOA Folding | |