Information on Result #1726340
Digital (61, 84, 655)-net over F7, using net defined by OOA based on linear OOA(784, 655, F7, 27, 23) (dual of [(655, 27), 17601, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(784, 2621, F7, 3, 23) (dual of [(2621, 3), 7779, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(784, 2623, F7, 3, 23) (dual of [(2623, 3), 7785, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(784, 2623, F7, 23) (dual of [2623, 2539, 24]-code), using
- 211 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 0, 1, 8 times 0, 1, 23 times 0, 1, 57 times 0, 1, 115 times 0) [i] based on linear OA(777, 2405, F7, 23) (dual of [2405, 2328, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(777, 2401, F7, 23) (dual of [2401, 2324, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- 211 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 0, 1, 8 times 0, 1, 23 times 0, 1, 57 times 0, 1, 115 times 0) [i] based on linear OA(777, 2405, F7, 23) (dual of [2405, 2328, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(784, 2623, F7, 23) (dual of [2623, 2539, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(784, 2623, F7, 3, 23) (dual of [(2623, 3), 7785, 24]-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.