Information on Result #1488860
Linear OOA(854, 1048588, F8, 3, 9) (dual of [(1048588, 3), 3145710, 10]-NRT-code), using OOA 2-folding based on linear OOA(854, 2097176, F8, 2, 9) (dual of [(2097176, 2), 4194298, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(854, 2097177, F8, 2, 9) (dual of [(2097177, 2), 4194300, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(854, 2097177, F8, 9) (dual of [2097177, 2097123, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(4) [i] based on
- linear OA(850, 2097152, F8, 9) (dual of [2097152, 2097102, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(829, 2097152, F8, 5) (dual of [2097152, 2097123, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(84, 25, F8, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,8)), using
- construction X applied to Ce(8) ⊂ Ce(4) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(854, 2097177, F8, 9) (dual of [2097177, 2097123, 10]-code), using
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
None.