Information on Result #1546585
Linear OOA(4257, 551096, F4, 3, 32) (dual of [(551096, 3), 1653031, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4257, 551096, F4, 32) (dual of [551096, 550839, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(4257, 1048653, F4, 32) (dual of [1048653, 1048396, 33]-code), using
- construction X applied to C([0,16]) ⊂ C([0,12]) [i] based on
- linear OA(4241, 1048577, F4, 33) (dual of [1048577, 1048336, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(4181, 1048577, F4, 25) (dual of [1048577, 1048396, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(416, 76, F4, 6) (dual of [76, 60, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(416, 85, F4, 6) (dual of [85, 69, 7]-code), using
- construction X applied to C([0,16]) ⊂ C([0,12]) [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(4257, 91849, F4, 39, 32) (dual of [(91849, 39), 3581854, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |