Information on Result #1423507
Linear OOA(4144, 1237, F4, 2, 37) (dual of [(1237, 2), 2330, 38]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4144, 1237, F4, 37) (dual of [1237, 1093, 38]-code), using
- 200 step Varšamov–Edel lengthening with (ri) = (1, 0, 0, 1, 10 times 0, 1, 23 times 0, 1, 33 times 0, 1, 39 times 0, 1, 42 times 0, 1, 44 times 0) [i] based on linear OA(4137, 1030, F4, 37) (dual of [1030, 893, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
- linear OA(4136, 1024, F4, 37) (dual of [1024, 888, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4131, 1024, F4, 35) (dual of [1024, 893, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 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
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
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(4144, 618, F4, 3, 37) (dual of [(618, 3), 1710, 38]-NRT-code) | [i] | OOA Folding | |