Information on Result #1539681
Linear OOA(4178, 32788, F4, 3, 29) (dual of [(32788, 3), 98186, 30]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4178, 32788, F4, 2, 29) (dual of [(32788, 2), 65398, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4178, 65576, F4, 29) (dual of [65576, 65398, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4178, 65577, F4, 29) (dual of [65577, 65399, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4137, 65536, F4, 23) (dual of [65536, 65399, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(49, 41, F4, 5) (dual of [41, 32, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using
- a “DaH†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(4178, 65577, F4, 29) (dual of [65577, 65399, 30]-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(4178, 6557, F4, 33, 29) (dual of [(6557, 33), 216203, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |