Information on Result #680475
Linear OA(496, 1029, F4, 26) (dual of [1029, 933, 27]-code), using construction X applied to Ce(25) ⊂ Ce(24) based on
- linear OA(496, 1024, F4, 26) (dual of [1024, 928, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(491, 1024, F4, 25) (dual of [1024, 933, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(40, 5, F4, 0) (dual of [5, 5, 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(4102, 1059, F4, 26) (dual of [1059, 957, 27]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(4103, 1082, F4, 26) (dual of [1082, 979, 27]-code) | [i] | ||
| 3 | Linear OA(4104, 1118, F4, 26) (dual of [1118, 1014, 27]-code) | [i] | ||
| 4 | Linear OA(4105, 1168, F4, 26) (dual of [1168, 1063, 27]-code) | [i] | ||
| 5 | Linear OA(4106, 1227, F4, 26) (dual of [1227, 1121, 27]-code) | [i] | ||
| 6 | Linear OA(4107, 1294, F4, 26) (dual of [1294, 1187, 27]-code) | [i] | ||
| 7 | Linear OOA(496, 514, F4, 2, 26) (dual of [(514, 2), 932, 27]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(496, 343, F4, 3, 26) (dual of [(343, 3), 933, 27]-NRT-code) | [i] | ||