Information on Result #1302363
Linear OA(7108, 121, F7, 75) (dual of [121, 13, 76]-code), using construction X with Varšamov bound based on
- linear OA(7107, 119, F7, 75) (dual of [119, 12, 76]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(7106, 117, F7, 75) (dual of [117, 11, 76]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(7105, 115, F7, 75) (dual of [115, 10, 76]-code), using
- concatenation of two codes [i] based on
- linear OA(4918, 23, F49, 18) (dual of [23, 5, 19]-code or 23-arc in PG(17,49)), using
- discarding factors / shortening the dual code based on linear OA(4918, 49, F49, 18) (dual of [49, 31, 19]-code or 49-arc in PG(17,49)), using
- Reed–Solomon code RS(31,49) [i]
- discarding factors / shortening the dual code based on linear OA(4918, 49, F49, 18) (dual of [49, 31, 19]-code or 49-arc in PG(17,49)), using
- linear OA(73, 5, F7, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,7) or 5-cap in PG(2,7)), using
- discarding factors / shortening the dual code based on linear OA(73, 7, F7, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
- Reed–Solomon code RS(4,7) [i]
- discarding factors / shortening the dual code based on linear OA(73, 7, F7, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
- linear OA(4918, 23, F49, 18) (dual of [23, 5, 19]-code or 23-arc in PG(17,49)), using
- concatenation of two codes [i] based on
- linear OA(7105, 116, F7, 74) (dual of [116, 11, 75]-code), using Gilbert–Varšamov bound and bm = 7105 > Vbs−1(k−1) = 41240 268919 487309 506865 072492 974130 955992 077399 380303 262775 849735 602400 833399 019546 398423 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 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
- linear OA(7105, 115, F7, 75) (dual of [115, 10, 76]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(7106, 118, F7, 74) (dual of [118, 12, 75]-code), using Gilbert–Varšamov bound and bm = 7106 > Vbs−1(k−1) = 290945 055616 531117 177838 541091 985704 417667 344143 606286 682907 580714 584804 286978 504070 764327 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code) (see above)
- linear OA(7106, 117, F7, 75) (dual of [117, 11, 76]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(7107, 120, F7, 74) (dual of [120, 13, 75]-code), using Gilbert–Varšamov bound and bm = 7107 > Vbs−1(k−1) = 1 944170 277129 919637 285470 141758 571498 888913 392336 323032 567493 671524 157648 074202 197357 489783 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code) (see above)
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.