Information on Result #1543436
Linear OOA(4225, 53546, F4, 3, 35) (dual of [(53546, 3), 160413, 36]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4225, 53546, F4, 35) (dual of [53546, 53321, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(4225, 65554, F4, 35) (dual of [65554, 65329, 36]-code), using
- construction X applied to C([0,17]) ⊂ C([1,17]) [i] based on
- linear OA(4209, 65537, F4, 35) (dual of [65537, 65328, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(4208, 65537, F4, 18) (dual of [65537, 65329, 19]-code), using the narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [1,17], and minimum distance d ≥ |{−17,−15,−13,…,17}|+1 = 19 (BCH-bound) [i]
- linear OA(416, 17, F4, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,4)), using
- dual of repetition code with length 17 [i]
- construction X applied to C([0,17]) ⊂ C([1,17]) [i] based on
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(4225, 8924, F4, 39, 35) (dual of [(8924, 39), 347811, 36]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |