Information on Result #1647118
Linear OOA(3187, 4194355, F3, 5, 17) (dual of [(4194355, 5), 20971588, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3187, 4194355, F3, 2, 17) (dual of [(4194355, 2), 8388523, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(321, 54, F3, 2, 8) (dual of [(54, 2), 87, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(321, 54, F3, 8) (dual of [54, 33, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(321, 54, F3, 8) (dual of [54, 33, 9]-code), using
- linear OOA(3166, 4194301, F3, 2, 17) (dual of [(4194301, 2), 8388436, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3166, 8388602, F3, 17) (dual of [8388602, 8388436, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- OOA 2-folding [i] based on linear OA(3166, 8388602, F3, 17) (dual of [8388602, 8388436, 18]-code), using
- linear OOA(321, 54, F3, 2, 8) (dual of [(54, 2), 87, 9]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.