Information on Result #1620996
Linear OOA(3185, 2097169, F3, 5, 17) (dual of [(2097169, 5), 10485660, 18]-NRT-code), using OOA 2-folding based on linear OOA(3185, 4194338, F3, 3, 17) (dual of [(4194338, 3), 12582829, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3185, 4194338, F3, 2, 17) (dual of [(4194338, 2), 8388491, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(319, 37, F3, 2, 8) (dual of [(37, 2), 55, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(319, 37, F3, 8) (dual of [37, 18, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(319, 48, F3, 8) (dual of [48, 29, 9]-code), using
- (u, u+v)-construction [i] based on
- linear OA(37, 24, F3, 4) (dual of [24, 17, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- linear OA(37, 24, F3, 4) (dual of [24, 17, 5]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(319, 48, F3, 8) (dual of [48, 29, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(319, 37, F3, 8) (dual of [37, 18, 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(319, 37, F3, 2, 8) (dual of [(37, 2), 55, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
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.