Information on Result #1642410
Linear OOA(3105, 2391508, F3, 5, 11) (dual of [(2391508, 5), 11957435, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3105, 2391508, F3, 2, 11) (dual of [(2391508, 2), 4782911, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3105, 4783016, F3, 11) (dual of [4783016, 4782911, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(3105, 4783017, F3, 11) (dual of [4783017, 4782912, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(6) [i] based on
- linear OA(399, 4782969, F3, 11) (dual of [4782969, 4782870, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(357, 4782969, F3, 7) (dual of [4782969, 4782912, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(10) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(3105, 4783017, F3, 11) (dual of [4783017, 4782912, 12]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3105, 2391507, F3, 15, 11) (dual of [(2391507, 15), 35872500, 12]-NRT-code) | [i] | OOA Stacking with Additional Row | |