Information on Result #1564046
Linear OOA(4954, 4025, F49, 3, 22) (dual of [(4025, 3), 12021, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4954, 4025, F49, 22) (dual of [4025, 3971, 23]-code), using
- 1611 step Varšamov–Edel lengthening with (ri) = (4, 0, 1, 6 times 0, 1, 17 times 0, 1, 48 times 0, 1, 121 times 0, 1, 271 times 0, 1, 479 times 0, 1, 660 times 0) [i] based on linear OA(4943, 2403, F49, 22) (dual of [2403, 2360, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(4943, 2401, F49, 22) (dual of [2401, 2358, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(4941, 2401, F49, 21) (dual of [2401, 2360, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(20) [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(4954, 1006, F49, 27, 22) (dual of [(1006, 27), 27108, 23]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |