Information on Result #1324252
Linear OA(4253, 262218, F4, 35) (dual of [262218, 261965, 36]-code), using construction X with Varšamov bound based on
- linear OA(4250, 262214, F4, 35) (dual of [262214, 261964, 36]-code), using
- construction X applied to C([0,17]) ⊂ C([0,13]) [i] based on
- linear OA(4235, 262145, F4, 35) (dual of [262145, 261910, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(4181, 262145, F4, 27) (dual of [262145, 261964, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(415, 69, F4, 7) (dual of [69, 54, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 85, F4, 7) (dual of [85, 70, 8]-code), using
- construction X applied to C([0,17]) ⊂ C([0,13]) [i] based on
- linear OA(4250, 262215, F4, 32) (dual of [262215, 261965, 33]-code), using Gilbert–Varšamov bound and bm = 4250 > Vbs−1(k−1) = 71337 222761 806813 230566 851011 319774 575068 175506 052118 859937 189279 182992 231227 830797 181772 661404 328158 993605 791919 784512 440915 632548 954406 179487 592672 [i]
- linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), using
- dual of repetition code with length 3 [i]
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(4253, 131109, F4, 2, 35) (dual of [(131109, 2), 261965, 36]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4253, 87406, F4, 3, 35) (dual of [(87406, 3), 261965, 36]-NRT-code) | [i] | ||