Information on Result #1060730
Linear OOA(3234, 2097334, F3, 4, 20) (dual of [(2097334, 4), 8389102, 21]-NRT-code), using OOA 2-folding based on linear OOA(3234, 4194668, F3, 2, 20) (dual of [(4194668, 2), 8389102, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3234, 4194669, F3, 2, 20) (dual of [(4194669, 2), 8389104, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(338, 368, F3, 2, 10) (dual of [(368, 2), 698, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(338, 736, F3, 10) (dual of [736, 698, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(337, 729, F3, 10) (dual of [729, 692, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(331, 729, F3, 8) (dual of [729, 698, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- OOA 2-folding [i] based on linear OA(338, 736, F3, 10) (dual of [736, 698, 11]-code), using
- linear OOA(3196, 4194301, F3, 2, 20) (dual of [(4194301, 2), 8388406, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3196, 8388602, F3, 20) (dual of [8388602, 8388406, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- OOA 2-folding [i] based on linear OA(3196, 8388602, F3, 20) (dual of [8388602, 8388406, 21]-code), using
- linear OOA(338, 368, F3, 2, 10) (dual of [(368, 2), 698, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
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.