Information on Result #1718286
Digital (72, 90, 1445)-net over F4, using net defined by OOA based on linear OOA(490, 1445, F4, 21, 18) (dual of [(1445, 21), 30255, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(490, 4336, F4, 3, 18) (dual of [(4336, 3), 12918, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(490, 4337, F4, 3, 18) (dual of [(4337, 3), 12921, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(490, 4337, F4, 18) (dual of [4337, 4247, 19]-code), using
- 224 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 0, 0, 0, 1, 7 times 0, 1, 12 times 0, 1, 21 times 0, 1, 34 times 0, 1, 54 times 0, 1, 82 times 0) [i] based on linear OA(479, 4102, F4, 18) (dual of [4102, 4023, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(479, 4096, F4, 18) (dual of [4096, 4017, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(473, 4096, F4, 17) (dual of [4096, 4023, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(40, 6, F4, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- 224 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 0, 0, 0, 1, 7 times 0, 1, 12 times 0, 1, 21 times 0, 1, 34 times 0, 1, 54 times 0, 1, 82 times 0) [i] based on linear OA(479, 4102, F4, 18) (dual of [4102, 4023, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(490, 4337, F4, 18) (dual of [4337, 4247, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(490, 4337, F4, 3, 18) (dual of [(4337, 3), 12921, 19]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.