Information on Result #679599
Linear OA(485, 4102, F4, 19) (dual of [4102, 4017, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) based on
- linear OA(485, 4096, F4, 19) (dual of [4096, 4011, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(479, 4096, F4, 18) (dual of [4096, 4017, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(40, 6, F4, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and 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 OA(491, 4130, F4, 19) (dual of [4130, 4039, 20]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(492, 4152, F4, 19) (dual of [4152, 4060, 20]-code) | [i] | ||
| 3 | Linear OA(493, 4188, F4, 19) (dual of [4188, 4095, 20]-code) | [i] | ||
| 4 | Linear OA(494, 4247, F4, 19) (dual of [4247, 4153, 20]-code) | [i] | ||
| 5 | Linear OA(495, 4337, F4, 19) (dual of [4337, 4242, 20]-code) | [i] | ||
| 6 | Linear OA(496, 4471, F4, 19) (dual of [4471, 4375, 20]-code) | [i] | ||
| 7 | Linear OA(497, 4660, F4, 19) (dual of [4660, 4563, 20]-code) | [i] | ||
| 8 | Linear OOA(485, 2051, F4, 2, 19) (dual of [(2051, 2), 4017, 20]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(485, 1367, F4, 3, 19) (dual of [(1367, 3), 4016, 20]-NRT-code) | [i] | ||