Information on Result #1081243
Linear OOA(3237, 4194304, F3, 4, 16) (dual of [(4194304, 4), 16776979, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(380, 2097154, F3, 4, 8) (dual of [(2097154, 4), 8388536, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(34, 4, F3, 4, 4) (dual of [(4, 4), 12, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;12,3) [i]
- linear OOA(376, 2097150, F3, 4, 8) (dual of [(2097150, 4), 8388524, 9]-NRT-code), using
- OOA 4-folding [i] based on linear OA(376, 8388600, F3, 8) (dual of [8388600, 8388524, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-code), using
- OOA 4-folding [i] based on linear OA(376, 8388600, F3, 8) (dual of [8388600, 8388524, 9]-code), using
- linear OOA(34, 4, F3, 4, 4) (dual of [(4, 4), 12, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3157, 2097152, F3, 4, 16) (dual of [(2097152, 4), 8388451, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3153, 2097151, F3, 4, 16) (dual of [(2097151, 4), 8388451, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3153, 4194302, F3, 2, 16) (dual of [(4194302, 2), 8388451, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3151, 4194301, F3, 2, 16) (dual of [(4194301, 2), 8388451, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3151, 8388602, F3, 16) (dual of [8388602, 8388451, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- OOA 2-folding [i] based on linear OA(3151, 8388602, F3, 16) (dual of [8388602, 8388451, 17]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3151, 4194301, F3, 2, 16) (dual of [(4194301, 2), 8388451, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3153, 4194302, F3, 2, 16) (dual of [(4194302, 2), 8388451, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3153, 2097151, F3, 4, 16) (dual of [(2097151, 4), 8388451, 17]-NRT-code), using
Mode: Constructive and 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.