Information on Result #1542900
Linear OOA(4219, 124448, F4, 3, 32) (dual of [(124448, 3), 373125, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4219, 124448, F4, 2, 32) (dual of [(124448, 2), 248677, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4219, 131082, F4, 2, 32) (dual of [(131082, 2), 261945, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4219, 262164, F4, 32) (dual of [262164, 261945, 33]-code), using
- 1 times truncation [i] based on linear OA(4220, 262165, F4, 33) (dual of [262165, 261945, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(29) [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(4199, 262144, F4, 30) (dual of [262144, 261945, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(32) ⊂ Ce(29) [i] based on
- 1 times truncation [i] based on linear OA(4220, 262165, F4, 33) (dual of [262165, 261945, 34]-code), using
- OOA 2-folding [i] based on linear OA(4219, 262164, F4, 32) (dual of [262164, 261945, 33]-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(4219, 20741, F4, 39, 32) (dual of [(20741, 39), 808680, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |